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Relevant bibliographies by topics / K3 surfaces

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Academic literature on the topic 'K3 surfaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 October 2024

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Journal articles on the topic "K3 surfaces"

1

Garbagnati, Alice. "On K3 Surface Quotients of K3 or Abelian Surfaces." Canadian Journal of Mathematics 69, no. 02 (2017): 338–72. http://dx.doi.org/10.4153/cjm-2015-058-1.

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Abstract The aim of this paper is to prove that a K3 surface is the minimal model of the quotient of an Abelian surface by a group G (respectively of a K3 surface by an Abelian group G) if and only if a certain lattice is primitively embedded in its Néron-Severi group. This allows one to describe the coarse moduli space of the K3 surfaces that are (rationally) G-covered by Abelian or K3 surfaces (in the latter case G is an Abelian group). When G has order 2 or G is cyclic and acts on an Abelian surface, this result is already known; we extend it to the other cases. Moreover, we prove that a K3

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Kim, Hoil, and Chang-Yeong Lee. "Noncommutative K3 surfaces." Physics Letters B 536, no. 1-2 (2002): 154–60. http://dx.doi.org/10.1016/s0370-2693(02)01807-5.

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Katsura, Toshiyuki, and Matthias Schütt. "Zariski K3 surfaces." Revista Matemática Iberoamericana 36, no. 3 (2019): 869–94. http://dx.doi.org/10.4171/rmi/1152.

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Keum, Jong Hae. "Every algebraic Kummer surface is the K3-cover of an Enriques surface." Nagoya Mathematical Journal 118 (June 1990): 99–110. http://dx.doi.org/10.1017/s0027763000003019.

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A Kummer surface is the minimal desingularization of the surface T/i, where T is a complex torus of dimension 2 and i the involution automorphism on T. T is an abelian surface if and only if its associated Kummer surface is algebraic. Kummer surfaces are among classical examples of K3-surfaces (which are simply-connected smooth surfaces with a nowhere-vanishing holomorphic 2-form), and play a crucial role in the theory of K3-surfaces. In a sense, all Kummer surfaces (resp. algebraic Kummer surfaces) form a 4 (resp. 3)-dimensional subset in the 20 (resp. 19)-dimensional family of K3-surfaces (r

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Hayashi, Taro. "Double cover K3 surfaces of Hirzebruch surfaces." Advances in Geometry 21, no. 2 (2021): 221–25. http://dx.doi.org/10.1515/advgeom-2020-0034.

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Abstract General K3 surfaces obtained as double covers of the n-th Hirzebruch surfaces with n = 0, 1, 4 are not double covers of other smooth surfaces. We give a criterion for such a K3 surface to be a double covering of another smooth rational surface based on the branch locus of double covers and fibre spaces of Hirzebruch surfaces.

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Artebani, Michela, Jürgen Hausen, and Antonio Laface. "On Cox rings of K3 surfaces." Compositio Mathematica 146, no. 4 (2010): 964–98. http://dx.doi.org/10.1112/s0010437x09004576.

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AbstractWe study Cox rings of K3 surfaces. A first result is that a K3 surface has a finitely generated Cox ring if and only if its effective cone is rational polyhedral. Moreover, we investigate degrees of generators and relations for Cox rings of K3 surfaces of Picard number two, and explicitly compute the Cox rings of generic K3 surfaces with a non-symplectic involution that have Picard number 2 to 5 or occur as double covers of del Pezzo surfaces.

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Shimada, Ichiro, and De-Qi Zhang. "Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces." Nagoya Mathematical Journal 161 (March 2001): 23–54. http://dx.doi.org/10.1017/s002776300002211x.

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We present a complete list of extremal elliptic K3 surfaces (Theorem 1.1). As an application, we give a sufficient condition for the topological fundamental group of complement to an ADE-configuration of smooth rational curves on a K3 surface to be trivial (Proposition 4.1 and Theorem 4.3).

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Shimada, Ichiro. "On normal K3 surfaces." Michigan Mathematical Journal 55, no. 2 (2007): 395–416. http://dx.doi.org/10.1307/mmj/1187647000.

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Nishiguchi, Kenji. "Degeneration of K3 surfaces." Journal of Mathematics of Kyoto University 28, no. 2 (1988): 267–300. http://dx.doi.org/10.1215/kjm/1250520482.

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PARK, B. DOUG. "DOUBLING HOMOTOPY K3 SURFACES." Journal of Knot Theory and Its Ramifications 12, no. 03 (2003): 347–54. http://dx.doi.org/10.1142/s0218216503002469.

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We perform certain doubling operation on the homotopy K3 surfaces of R. Fintushel and R. J. Stern to obtain a new family of smooth closed simply-connected irreducible spin 4-manifolds indexed by knots in S3.

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Dissertations / Theses on the topic "K3 surfaces"

1

Ugolini, Matteo. "K3 surfaces." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18774/.

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Makarova, Svetlana Ph D. Massachusetts Institute of Technology. "Strange duality on elliptic and K3 surfaces." Thesis, Massachusetts Institute of Technology, 2020. https://hdl.handle.net/1721.1/126929.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, May, 2020<br>Cataloged from the official PDF of thesis.<br>Includes bibliographical references (pages 75-77).<br>The Strange Duality is a conjectural duality between two spaces of global sections of natural line bundles on moduli spaces of sheaves on a fixed variety. It has been proved in full generality on curves by Marian and Oprea, and by Belkale. There have been ongoing work on the Strange Duality on surfaces by various people. In the current paper, we show that the approach of Marian and Oprea to treating el

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Fullwood, Joshua Joseph. "Invariant Lattices of Several Elliptic K3 Surfaces." BYU ScholarsArchive, 2021. https://scholarsarchive.byu.edu/etd/9188.

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This work is concerned with computing the invariant lattices of purely non-symplectic automorphisms of special elliptic K3 surfaces. Brandhorst gave a collection of K3 surfaces admitting purely non-symplectic automorphisms that are uniquely determined up to isomorphism by certain invariants. For many of these surfaces, the automorphism is also unique or the automorphism group of the surface is finite and with a nice isomorphism class. Understanding the invariant lattices of these automorphisms and surfaces is interesting because of these uniqueness properties and because it is possible to give

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Barros, Ignacio. "K3 surfaces and moduli of holomorphic differentials." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19290.

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In dieser Arbeit behandeln wir die birationale Geometrie verschiedener Modulräume; die Modulräume von Kurven mit einem k-Differential mit vorgeschierbenen Nullen, besser bekannt als Strata von Differenzialen, Moduln von K3 Flächen mit markierten Punkten und Moduln von Kurven. Für bestimmte Geschlechter nennen wir Abschätzungen der Kodaira-Dimension, konstruieren unirationale Parametrisierungen, rationale deckende Kurven und unterschiedliche birationale Modelle. In Kapitel 1 führen wir die zu untersuchenden Objekte ein und geben einen kurzen Überblick ihrer wichtigsten Eigenschaften und off

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Veniani, Davide Cesare [Verfasser]. "Lines on K3 quartic surfaces / Davide Cesare Veniani." Hannover : Technische Informationsbibliothek (TIB), 2016. http://d-nb.info/1112954716/34.

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Goluboff, Justin Ross. "Genus Six Curves, K3 Surfaces, and Stable Pairs:." Thesis, Boston College, 2020. http://hdl.handle.net/2345/bc-ir:108715.

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Thesis advisor: Maksym Fedorchuk<br>A general smooth curve of genus six lies on a quintic del Pezzo surface. In [AK11], Artebani and Kondō construct a birational period map for genus six curves by taking ramified double covers of del Pezzo surfaces. The map is not defined for special genus six curves. In this dissertation, we construct a smooth Deligne-Mumford stack P₀ parametrizing certain stable surface-curve pairs which essentially resolves this map. Moreover, we give an explicit description of pairs in P₀ containing special curves<br>Thesis (PhD) — Boston College, 2020<br>Submitted to: Bos

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Tabbaa, Dima al. "On the classification of some automorphisms of K3 surfaces." Thesis, Poitiers, 2015. http://www.theses.fr/2015POIT2299/document.

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Un automorphisme non-symplectique d'ordre fini n sur une surface X de type K3 est un automorphisme σ ∈ Aut(X) qui satisfait σ*(ω) = λω où λ est une racine primitive n-ième de l'unité et ω est le générateur de H2,0(X). Dans cette thèse on s’intéresse aux automorphismes non-symplectiques d'ordre 8 et 16 sur les surfaces K3. Dans un premier temps, nous classifionsles automorphismes non-symplectiques σ d'ordre 8 quand le lieu fixe de sa quatrième puissance σ⁴ contient une courbe de genre positif, on montre plus précisément que le genre de la courbe fixée par σ est au plus un. Ensuite nous étudions

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Comparin, Paola. "Symétrie miroir et fibrations elliptiques spéciales sur les surfaces K3." Thesis, Poitiers, 2014. http://www.theses.fr/2014POIT2281/document.

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Une surface K3 est une surface X complexe compacte projective lisse qui a fibré canonique trivial et h0;1(X) = 0. Dans cette thèse on s'intéresse à deux problèmes pour ces surfaces. D'abord on considère des surfaces K3 obtenues comme recouvrement double de P2 ramifié le long d'une sextique. On classifie les fibrations elliptiques sur ces surfaces et leur groupe de Mordell-Weil, c'est-à-dire le groupe des sections. Vu que une section de 2-torsion définit une involution de la surface (dite involution de van Geemen-Sarti), alors en classifiant les fibrations et les section de 2-torsion on obtient

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Harrache, Titem. "Etude des fibrations elliptiques d'une surface K3." Paris 6, 2009. http://www.theses.fr/2009PA066451.

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Nous exploitons la possibilité pour une surface K3 elliptique d'avoir plusieurs fibrations elliptiques. Dans le cas de la courbe elliptique universelle S, considérée comme surface, sur la courbe modulaire paramétrisant les courbes elliptiques avec un point d'ordre 7, certaines fibrations définies sur les rationnels ont un rang du groupe de Mordell-Weil strictement positif. Ceci permet de construire une infinité de courbes elliptiques sur les rationnels de rang supérieur ou égal à 2. Dans cette thèse on donne 12 exemples de fibrations elliptiques et on précise le groupe de Mordell-Weil de chaqu

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Schütt, Matthias. "Hecke eigenforms and the arithmetic of singular K3 surfaces." [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=981878970.

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Books on the topic "K3 surfaces"

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Kondō, Shigeyuki. K3 surfaces. European Mathematical Society, 2020.

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V, Nikulin V., ed. Del Pezzo and K3 surfaces. Mathematical Society of Japan, 2006.

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Faber, Carel, Gavril Farkas, and Gerard van der Geer, eds. K3 Surfaces and Their Moduli. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29959-4.

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Johnsen, Trygve. K3 Projective models in scrolls. Springer, 2004.

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Johnsen, Trygve. K3 Projective models in scrolls. Springer, 2004.

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Nikoloudakis, Nikolaos. Special K3 surfaces and Fano 3-folds. typescript, 1986.

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France, Société mathématique de, ed. Géométrie des surfaces K3: Modules et périodes. Société mathématique de France, 1985.

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8

Scattone, Francesco. On the compactification of moduli spaces for algebraic K3 surfaces. American Mathematical Society, 1987.

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Laza, Radu, Matthias Schütt, and Noriko Yui, eds. Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6403-7.

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Odaka, Yūji. Collapsing K3 surfaces, tropical geometry and moduli compactifications of Satake, Morgan-Shalen type. The Mathematical Society of Japan, 2021.

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Book chapters on the topic "K3 surfaces"

1

Silhol, Robert. "Real K3 surfaces." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0088823.

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Barth, Wolf P., Klaus Hulek, Chris A. M. Peters, and Antonius Ven. "K3-Surfaces and Enriques Surfaces." In Compact Complex Surfaces. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-57739-0_9.

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Schütt, Matthias, and Tetsuji Shioda. "Elliptic K3 Surfaces—Basics." In Mordell–Weil Lattices. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-32-9301-4_11.

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Várilly-Alvarado, Anthony. "Arithmetic of K3 Surfaces." In Geometry Over Nonclosed Fields. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49763-1_7.

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Kondō, Shigeyuki. "K3 and Enriques Surfaces." In Fields Institute Communications. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6403-7_1.

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Kodaira, Kunihiko. "On Homotopy K3 Surfaces." In Kunihiko Kodaira: Collected Works, Volume III. Princeton University Press, 2015. http://dx.doi.org/10.1515/9781400869879-019.

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Shimada, Ichiro. "The Automorphism Groups of Certain Singular K3 Surfaces and an Enriques Surface." In K3 Surfaces and Their Moduli. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29959-4_12.

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Gritsenko, V., and K. Hulek. "Moduli of Polarized Enriques Surfaces." In K3 Surfaces and Their Moduli. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29959-4_3.

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Bartocci, Claudio, Ugo Bruzzo, and Daniel Hernández Ruipérez. "Fourier-Mukai on K3 surfaces." In Fourier¿Mukai and Nahm Transforms in Geometry and Mathematical Physics. Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/b11801_4.

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Schütt, Matthias, and Tetsuji Shioda. "Elliptic K3 Surfaces—Special Topics." In Mordell–Weil Lattices. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-32-9301-4_12.

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Conference papers on the topic "K3 surfaces"

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Qaddori, Fikrat, and Raid Salman. "Evaluation of Cross-Sectional Designs Impact of Different NiTi Files on Distortion Resistance Using SEM (An-in Vitro Study)." In 5th International Conference on Biomedical and Health Sciences. Cihan University-Erbil, 2024. http://dx.doi.org/10.24086/biohs2024/paper.1154.

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Abstract—Background and aims: The aim of this study was to compare the effect of cross-sectional designs of four rotary systems (One Curve, 2Shape, K3-i File, E3 Azure), on distortion resistance of the metal surfaces of these files in simulated resin blocks under controlled conditions with five repeated usages, using scanning electron microscope (SEM). Materials & Methods: Four rotary file systems: (1) One Curve, (2) 2Shape, (3) K3-i File, and (4) E3 Azure, were tested in simulated J-shaped root canal resin blocks with a 45 ̊ angle of curvature. Ten files from each system, each one of the

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Zechmeister, M. J., R. D. Reinheimer, D. P. Jones, and T. M. Damiani. "Thermal Fatigue Testing and Analysis of Stainless Steel Girth Butt Weld Piping." In ASME 2011 Pressure Vessels and Piping Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/pvp2011-58024.

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A piping thermal fatigue test loop has been constructed at the Bettis Laboratory and is being used by the Bechtel Marine Propulsion Corporation (BMPC) to obtain thermal fatigue data on 304 Stainless Steel (304SS) piping and piping girth butt welds. These specimens were subjected to alternating hot and cold forced flow, low oxygenated water every three minutes so that rapid changes in water temperature impart a thermal shock event to the inner wall of the girth butt welds. Thermal and structural piping analyses were conducted using the ASME Boiler and Pressure Vessel Code Section III NB-3600 pi

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