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Опубліковано: 8 червня 2024

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Статті в журналах з теми "Positivity of line bundles":

1

YANG, QILIN. "(k, s)-POSITIVITY AND VANISHING THEOREMS FOR COMPACT KÄHLER MANIFOLDS." International Journal of Mathematics 22, no. 04 (April 2011): 545–76. http://dx.doi.org/10.1142/s0129167x11006908.

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We study the (k, s)-positivity for holomorphic vector bundles on compact complex manifolds. (0, s)-positivity is exactly the Demailly s-positivity and a (k, 1)-positive line bundle is just a k-positive line bundle in the sense of Sommese. In this way we get a unified theory for all kinds of positivities used for semipositive vector bundles. Several new vanishing theorems for (k, s)-positive vector bundles are proved and the vanishing theorems for k-ample vector bundles on projective algebraic manifolds are generalized to k-positive vector bundles on compact Kähler manifolds.
2

Ein, Lawrence, Oliver Küchle, and Robert Lazarsfeld. "Local positivity of ample line bundles." Journal of Differential Geometry 42, no. 2 (1995): 193–219. http://dx.doi.org/10.4310/jdg/1214457231.

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3

Szemberg, Tomasz. "On positivity of line bundles on Enriques surfaces." Transactions of the American Mathematical Society 353, no. 12 (July 30, 2001): 4963–72. http://dx.doi.org/10.1090/s0002-9947-01-02788-x.

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4

Küronya, Alex, and Victor Lozovanu. "Positivity of Line Bundles and Newton-Okounkov Bodies." Documenta Mathematica 22 (2017): 1285–302. http://dx.doi.org/10.4171/dm/596.

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5

Biswas, Indranil, Krishna Hanumanthu, and D. S. Nagaraj. "Positivity of vector bundles on homogeneous varieties." International Journal of Mathematics 31, no. 12 (September 24, 2020): 2050097. http://dx.doi.org/10.1142/s0129167x20500974.

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We study the following question: Given a vector bundle on a projective variety [Formula: see text] such that the restriction of [Formula: see text] to every closed curve [Formula: see text] is ample, under what conditions [Formula: see text] is ample? We first consider the case of an abelian variety [Formula: see text]. If [Formula: see text] is a line bundle on [Formula: see text], then we answer the question in the affirmative. When [Formula: see text] is of higher rank, we show that the answer is affirmative under some conditions on [Formula: see text]. We then study the case of [Formula: see text], where [Formula: see text] is a reductive complex affine algebraic group, and [Formula: see text] is a parabolic subgroup of [Formula: see text]. In this case, we show that the answer to our question is affirmative if [Formula: see text] is [Formula: see text]-equivariant, where [Formula: see text] is a fixed maximal torus. Finally, we compute the Seshadri constant for such vector bundles defined on [Formula: see text].
6

Varolin, Dror. "A Takayama-type extension theorem." Compositio Mathematica 144, no. 2 (March 2008): 522–40. http://dx.doi.org/10.1112/s0010437x07002989.

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AbstractWe prove a theorem on the extension of holomorphic sections of powers of adjoint bundles from submanifolds of complex codimension 1 having non-trivial normal bundle. The first such result, due to Takayama, considers the case where the canonical bundle is twisted by a line bundle that is a sum of a big and nef line bundle and a $\mathbb {Q}$-divisor that has Kawamata log terminal singularities on the submanifold from which extension occurs. In this paper we weaken the positivity assumptions on the twisting line bundle to what we believe to be the minimal positivity hypotheses. The main new idea is an L2 extension theorem of Ohsawa–Takegoshi type, in which twisted canonical sections are extended from submanifolds with non-trivial normal bundle.
7

Hanumanthu, Krishna. "Positivity of line bundles on special blow ups ofP2." Journal of Pure and Applied Algebra 221, no. 9 (September 2017): 2372–82. http://dx.doi.org/10.1016/j.jpaa.2016.12.038.

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8

Hanumanthu, Krishna. "Positivity of line bundles on general blow ups of P2." Journal of Algebra 461 (September 2016): 65–86. http://dx.doi.org/10.1016/j.jalgebra.2016.04.029.

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9

Lee, Sanghyeon, and Jaesun Shin. "Positivity of line bundles on general blow-ups of abelian surfaces." Journal of Algebra 524 (April 2019): 59–78. http://dx.doi.org/10.1016/j.jalgebra.2018.12.020.

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10

Lundman, Anders. "Local positivity of line bundles on smooth toric varieties and Cayley polytopes." Journal of Symbolic Computation 74 (May 2016): 109–24. http://dx.doi.org/10.1016/j.jsc.2015.05.007.

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Статті в журналах Дисертації Книги

Дисертації з теми "Positivity of line bundles":

1

Fang, Yanbo. "Study of positively metrized line bundles over a non-Archimedean field via holomorphic convexity." Thesis, Université de Paris (2019-....), 2020. http://www.theses.fr/2020UNIP7033.

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Ce mémoire de thèse est consacré à l'étude de fibré en droites semipositif en géométrie analytique non-Archimédienne, par un point de vue d'analyse fonctionnelle sur un corps ultramétrique en exploitant la géométrie de la convexité holomorphe. Le premier chapitre recueille quelques préliminaires pour l'algèbre de Banach sur un corps ultramétrique et la géométrie de son spectre au sens de Berkovich, le cadre dans lequel l'étude est effectuée. Le deuxième chapitre présente la construction de base, qui encode la géométrie intervenante dans certaines algèbres de Banach. On associe une algèbre normée de section à un fibré en droites métrisé. On décrit son spectre, en le reliant avec le fibré en disques unités duals de ce fibré en droites muni de la métrique enveloppante. On encode alors la positivité métrique par la convexité holomorphe. Le troisième chapitre consiste en deux approches indépendantes pour le problème d'extension métrique de sections restreintes sur une sous-variété fermée. On obtient une borne supérieure pour la distorsion métrique asymptotique, qui est uniforme par rapport aux choix de sections restreintes. On utilise une propriété particulière aux normes affinoïdes pour obtenir cette inégalité. Le quatrième chapitre traite le problème de la régularité de métrique enveloppante. Avec un nouveau regard venant d'analyse holomorphe à plusieurs variables, on vise à montrer que, quand le fibré en droites est ample, la métrique enveloppante est continue si la métrique de départ l’est. On suggère une méthode tentative reposant sur un analogue non archimédien spéculatif d'un résultat sur la convexité holomorphe due à Cartan et Thullen
This thesis is devoted to the study of semi-positively metrized line bundles in non-Archimedean analytic geometry, with the point of view of functional analysis over an ultra-metric field exploiting the geometry related to holomorphic convexity. The first chapter gathers some preliminaries about Banach algebras over ultra-metric fields and the geometry of their spectrum in the sense of V. Berkovich, which is the framework of our study. The second chapter present the basic construction, which encodes the related geometric information into some Banach algebra. We associate the normed algebra of sections of a metrized line bundle. We describe its spectrum, relating it with the dual unit disc bundle of this line bundle with respect to the envelope metric. We thus encode the metric positivity into the holomorphic convexity of the spectrum. The third chapter consists of two independent for the normed extension problem for restricted sections on a sub-variety. We obtain an upper bound for the asymptotic norm distorsion between the restricted section and the extended one, which is uniform with respect to the choice of restricted sections. We use a particular property of affinoid algebras to obtain this inequality. The fourth chapter treat the problem of regularity of the envelope metric. With a new look from the holomorphic analysis of several variables, we aime at showing that on ample line bundles, the envelop metric is continuous once the original metric is. We suggest a tentative approach based on a speculative analogue of Cartan-Thullen’s result in the non-Archimedean setting
2

Denisi, Francesco Antonio. "Positivité sur les variétés irréductibles holomorphes symplectiques." Electronic Thesis or Diss., Université de Lorraine, 2023. http://www.theses.fr/2023LORR0162.

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Dans cette thèse, nous étudions certains aspects de la positivité des diviseurs sur les variétés irréductibles holomorphes symplectiques (IHS). Fixons une variété IHS projective X de dimension complexe 2n. Inspirés par le travail de Bauer, Küronya et Szemberg, nous montrons que le cône big de X a une décomposition localement finie en sous-cônes localement rationnelles polyhédraux, qu'on appelle chambres de Boucksom-Zariski. Ces sous-cônes ont une signification géométrique : sur chacun d'eux, la fonction volume est exprimée par un polynôme homogène de degré 2n. De plus, à l'intérieur de toute chambre de Boucksom-Zariski, la partie divisorielle du lieu base augmenté des diviseurs big reste la même. Après avoir analysé le cône big, nous déterminons la structure du cône pseudo-effectif de X, généralisant ainsi un résultat bien connu de Kovács pour les surfaces K3. En particulier, nous montrons que si le nombre de Picard de X est au moins 3, le cône pseudo-effectif de X est soit circulaire, soit ne contient pas de parties circulaires et est égal à la clôture du cône engendré par les classes des diviseurs premiers exceptionnels. De ce résultat en géométrie convexe, nous déduisons quelques propriétés géométriques de X et nous montrons l'existence de diviseurs rigides uniréglés sur certaines variétés symplectiques singulières. Nous étudions le comportement des lieux de base asymptotiques des diviseurs big sur X et nous en donnons une caractérisation numérique. En conséquence de cette caractérisation numérique, nous obtenons une description des duaux des cônes mathrm{Amp}_k(X), pour tout 1leq k leq 2n, où mathrm{Amp}_k(X) est le cône convexe des classes des diviseurs big ayant le lieu base augmenté de dimension strictement plus petite que k. En utilisant la décomposition divisorielle de Zariski, la forme de Beauville-Bogomolov-Fujiki (BBF) et la décomposition du cône big de X en chambres de Boucksom-Zariski, nous associons à toute classe de diviseurs big alpha et à un diviseur premier E sur X un polygone Delta_E(alpha), dont la géométrie est liée à la variation de la décomposition divisorielle de alpha dans le cône big de X. Le volume euclidien est exprimé en termes de la forme BBF et est indépendant du choix de E. Nous montrons que ces polygones s'inscrivent dans un cône convexe Delta_E(X) sous forme de tranches, globalisant ainsi la construction. En conclusion, nous montrons que sous certaines hypothèses, les polygones Delta_E(alpha) peuvent être écrits comme une somme de Minkowski de certains polygones {Delta_E(Beta_i)}_{iin I}, pour certaines classes big {Beta_i}_{i in I}. Il est remarquable que ces polygones se comportent comme les corps de Newton-Okounkov des diviseurs big sur les surfaces projectives lisses
In this thesis, we study some aspects of the positivity of divisors on irreducible holomorphic symplectic (IHS) manifolds. Fix a projective IHS manifold X of complex dimension 2n. Inspired by the work of Bauer, Küronya, and Szemberg, we show that the big cone of X has a locally finite decomposition into locally rational polyhedral subcones, called Boucksom-Zariski chambers. These subcones have a geometric meaning: on any of them, the volume function is expressed by a homogeneous polynomial of degree 2n. Furthermore, in the interior of any Boucksom-Zariski chamber, the divisorial part of the augmented base locus of big divisors stays the same. After analyzing the big cone, we determine the structure of the pseudo-effective cone of X, generalizing a well-known result due to Kovács for K3 surfaces. In particular, we show that if the Picard number of X is at least 3, the pseudo-effective cone either is circular or does not contain circular parts and is equal to the closure of the cone generated by the prime exceptional divisor classes. From this result in convex geometry, we deduce some geometric properties of X and show the existence of rigid uniruled divisors on some singular symplectic varieties. We study the behaviour of the asymptotic base loci of big divisors on X, and we provide a numerical characterization for them. As a consequence of this numerical characterization, we obtain a description for the dual of the cones mathrm{Amp}_k(X), for any 1leq k leq 2n, where mathrm{Amp}_k(X) is the convex cone of big divisor classes having the augmented base locus of dimension strictly smaller than k. Using the divisorial Zariski decomposition, the Beauville-Bogomolov-Fujiki (BBF) form, and the decomposition of the big cone of X into Boucksom-Zariski chambers, we associate to any big divisor class alpha and a prime divisor E on X a polygon Delta_E(alpha) whose geometry is related to the variation of the divisorial Zariski decomposition of alpha in the big cone. Its euclidean volume is expressed in terms of the BBF form and is independent of the choice of E. We show that these polygons fit in a convex cone Delta_E(X) as slices, globalizing in this way the construction. To conclude, we show that under some hypothesis, the polygons Delta_E(alpha) can be expressed as a Minkowski sum of some polygons {Delta_E(Beta_i)}_{i in I}, for some big classes {Beta_i}_{_ iin I}. Remarkably, these polygons behave like the Newton-Okounkov bodies of big divisors on smooth projective surfaces
3

Jabbusch, Kelly. "Notions of positivity for vector bundles /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/5772.

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4

Granja, Gustavo 1971. "On quaternionic line bundles." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/85302.

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5

Ottem, John Christian. "Ample subschemes and partially positive line bundles." Thesis, University of Cambridge, 2013. https://www.repository.cam.ac.uk/handle/1810/265577.

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A common theme in algebraic geometry is that geometric properties of an algebraic variety are reflected in the subvarieties that are 'positively embedded' in it. Here the case of subvarieties of codimension one is classical and also fundamental to algebraic geometry: divisors correspond to line bundles and ample line bundles classify projective embeddings. However, subvarieties and algebraic cycles of higher codimension are regarded as much more complicated objects and not well understood in general. The first paper of the thesis introduces a notion of ampleness for subschemes of arbitrary codimension, generalising the notion of an ample divisor. In short, a subscheme is defined to be ample if the exceptional divisor on the blow-up along the subscheme satisfies a certain partial positivity condition, namely that its asymptotic cohomology groups vanish in certain degrees. It is shown that such subschemes share several geometric properties with complete intersections of ample divisors. For example, the Lefschetz hyperplane theorem on rational cohomology holds and the cycle class of an ample subvariety is numerically positive. Using these results, we construct counterexamples to a conjecture of Demailly- Peternell- Schneider on the converse of the Andreotti-Grauert vanishing theorem in complex geometry. The second paper studies the birational structure of hypersurfaces in products of projective spaces. These hypersurfaces are in many respects simple varieties, yet they provide many interesting examples of birational geometry phenomena. For example, they may have infinite birational automorphism groups. In the case of hypersurfaces in JP > m x JP > n, we study their nef, movable and effective cones and determine when they are Mori dream spaces.
6

Taylor, Lawrence. "Noncommutative tori, real multiplication and line bundles." Thesis, University of Nottingham, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.437094.

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7

Bedi, Harpreet Singh. "Line Bundles of Rational Degree Over Perfectoid Space." Thesis, The George Washington University, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10681242.

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In this thesis we lay the foundation for rational degree d as an element of Z[1/p] by using perfectoid analogue of projective space, and consider power series instead of polynomials. We start the groundwork by proving Weierstrass theorems for perfectoid spaces which are analogues of standard Weierstrass theorems in complex analysis. We then move onto defining sheaves for Projective perfectoid analogue and prove perfectoid analogues of Gorthendieck's classication theorem on projective line, Serre's theorem on Cohomology of line bundles. As intermediate results we also compute Picard groups and describe Cartier and Weil divisors for Perfectoid.

8

Andrews, Patrick Rowan. "Boiling on in-line and staggered tube bundles." Thesis, Heriot-Watt University, 1985. http://hdl.handle.net/10399/1608.

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9

Petersen, Lars [Verfasser]. "Line bundles on complexity-one T-varieties and beyond / Lars Petersen." Berlin : Freie Universität Berlin, 2011. http://d-nb.info/1025240324/34.

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10

Herrmann, Hendrik [Verfasser], George [Gutachter] Marinescu, and Silvia [Gutachter] Sabatini. "Bergman Kernel Asymptotics for Partially Positive Line Bundles / Hendrik Herrmann ; Gutachter: George Marinescu, Silvia Sabatini." Köln : Universitäts- und Stadtbibliothek Köln, 2018. http://d-nb.info/1193177243/34.

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Книги з теми "Positivity of line bundles":

1

Abe, Takeshi. Strange duality for parabolic symplectic bundles on a pointed projective line. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2008.

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2

Lazarsfeld, R. K. Positivity in Algebraic Geometry I : Classical Setting: Line Bundles and Linear Series. Springer, 2004.

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3

Lazarsfeld, Robert. Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete). Springer, 2007.

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4

Lazarsfeld, R. K. Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics). Springer, 2004.

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5

Lazarsfeld, R. K. Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals. Springer, 2004.

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6

Abe, Yukitaka, and Klaus Kopfermann. Toroidal Groups: Line Bundles, Cohomology and Quasi-Abelian Varieties. Springer London, Limited, 2003.

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7

Abe, Yukitaka, and Klaus Kopfermann. Toroidal Groups: Line Bundles, Cohomology and Quasi-Abelian Varieties (Lecture Notes in Mathematics). Springer, 2001.

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8

Lazarsfeld, R. K. Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics). Springer, 2004.

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9

Plan, Funny. Gratitude Journal: One-Line-A-Day to Give Thanks, Practice Positivity and Mindfulness. Independently Published, 2021.

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10

Plan, Funny. Gratitude Journal: One-Line-A-Day to Give Thanks, Practice Positivity and Mindfulness. Independently Published, 2021.

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Частини книг з теми "Positivity of line bundles":

1

Lazarsfeld, Robert. "Ample and Nef Line Bundles." In Positivity in Algebraic Geometry I, 7–119. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18808-4_3.

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2

Bini, Gilberto, Fabio Felici, Margarida Melo, and Filippo Viviani. "Appendix: Positivity Properties of Balanced Line Bundles." In Lecture Notes in Mathematics, 197–203. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11337-1_17.

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3

Shiffman, Bernard, and Andrew John Sommese. "Vector Bundles: Geometric Positivity." In Vanishing Theorems on Complex Manifolds, 117–32. Boston, MA: Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4899-6680-3_6.

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4

Lazarsfeld, Robert. "Ample and Nef Vector Bundles." In Positivity in Algebraic Geometry II, 7–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18810-7_2.

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5

Lazarsfeld, Robert. "Numerical Properties of Ample Bundles." In Positivity in Algebraic Geometry II, 101–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18810-7_4.

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6

Varolin, Dror. "Complex line bundles." In Graduate Studies in Mathematics, 61–86. Providence, Rhode Island: American Mathematical Society, 2011. http://dx.doi.org/10.1090/gsm/125/04.

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7

Lazarsfeld, Robert. "Geometric Properties of Ample Vector Bundles." In Positivity in Algebraic Geometry II, 65–99. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18810-7_3.

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8

Narasimhan, Raghavan. "Vector Bundles, Line Bundles and Divisors." In Compact Riemann Surfaces, 27–31. Basel: Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-8617-8_6.

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9

Brunella, Marco. "Foliations and Line Bundles." In Birational Geometry of Foliations, 9–22. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-14310-1_2.

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10

Birkenhake, Christina, and Herbert Lange. "Cohomology of Line Bundles." In Complex Abelian Varieties, 45–68. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06307-1_5.

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Тези доповідей конференцій з теми "Positivity of line bundles":

1

BERNDTSSON, BO. "COMPLEX BRUNN–MINKOWSKI THEORY AND POSITIVITY OF VECTOR BUNDLES." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0080.

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2

FREED, DANIEL S. "On Determinant Line Bundles." In Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0011.

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Brzeziński, Tomasz, and Shahn Majid. "Line bundles on quantum spheres." In Particles, fields and gravitation. AIP, 1998. http://dx.doi.org/10.1063/1.57118.

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CAROW-WATAMURA, URSULA, та SATOSHI WATAMURA. "LINE BUNDLES ON FUZZY ℂPN". У Proceedings of the COE International Workshop. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812775061_0006.

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Herman, R. M. "Dipole Spectra of H2 and HD in Interstitial Channels in Carbon Nanotube Bundles." In SPECTRAL LINE SHAPES. AIP, 2002. http://dx.doi.org/10.1063/1.1525460.

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Holl, Gerald, Michael Vierhauser, Wolfgang Heider, Paul Grübacher, and Rick Rabiser. "Product line bundles for tool support in multi product lines." In the 5th Workshop. New York, New York, USA: ACM Press, 2011. http://dx.doi.org/10.1145/1944892.1944895.

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Holl, Gerald. "Product line bundles to support product derivation in multi product lines." In the 15th International Software Product Line Conference. New York, New York, USA: ACM Press, 2011. http://dx.doi.org/10.1145/2019136.2019184.

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Sarto, M. S., and A. Tamburrano. "Multiconductor transmission line modeling of SWCNT bundles in common-mode excitation." In 2006 IEEE International Symposium on Electromagnetic Compatibility, 2006. EMC 2006. IEEE, 2006. http://dx.doi.org/10.1109/isemc.2006.1706349.

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Virk, Muhammad S. "Atmospheric icing of transmission line circular conductor bundles in triplex configuration." In 2016 IEEE International Conference on Power and Renewable Energy (ICPRE). IEEE, 2016. http://dx.doi.org/10.1109/icpre.2016.7871122.

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Riznyk, Oleg, Yurii Kynash, Olexandr Povshuk, and Yurii Noga. "The Method of Encoding Information in the Images Using Numerical Line Bundles." In 2018 IEEE 13th International Scientific and Technical Conference on Computer Sciences and Information Technologies (CSIT). IEEE, 2018. http://dx.doi.org/10.1109/stc-csit.2018.8526751.

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Звіти організацій з теми "Positivity of line bundles":

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James-Scott, Alisha, Rachel Savoy, Donna Lynch-Smith, and tracy McClinton. Impact of Central Line Bundle Care on Reduction of Central Line Associated-Infections: A Scoping Review. University of Tennessee Health Science Center, November 2021. http://dx.doi.org/10.21007/con.dnp.2021.0014.

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Анотація:
Purpose/Background Central venous catheters (CVC) are typical for critically ill patients in the intensive care unit (ICU). Due to the invasiveness of this procedure, there is a high risk for central line-associated bloodstream infection (CLABSI). These infections have been known to increase mortality and morbidity, medical costs, and reduce hospital reimbursements. Evidenced-based interventions were grouped to assemble a central line bundle to decrease the number of CLABSIs and improve patient outcomes. This scoping review will evaluate the literature and examine the association between reduced CLABSI rates and central line bundle care implementation or current use. Methods A literature review was completed of nine critically appraised articles from the years 2010-2021. The association of the use of central line bundles and CLABSI rates was examined. These relationships were investigated to determine if the adherence to a central line bundle directly reduced the number of CLABSI rates in critically ill adult patients. A summary evaluation table was composed to determine the associations related to the implementation or current central line bundle care use. Results Of the study sample (N=9), all but one demonstrated a significant decrease in CLABSI rates when a central line bundle was in place. A trend towards reducing CLABSI was noted in the remaining article, a randomized controlled study, but the results were not significantly different. In all the other studies, a meta-analysis, randomized controlled trial, control trial, cohort or case-control studies, and quality improvement project, there was a significant improvement in CLABSI rates when utilizing a central line bundle. The extensive use of different levels of evidence provided an excellent synopsis that implementing a central line bundle care would directly affect decreasing CLABSI rates. Implications for Nursing Practice Results provided in this scoping review afforded the authors a diverse level of evidence that using a central line bundle has a direct outcome on reducing CLABSI rates. This practice can be implemented within the hospital setting as suggested by the literature review to prevent or reduce CLABSI rates. Implementing a standard central line bundle care hospital-wide helps avoid this hospital-acquired infection.

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