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Статті в журналах з теми "Géométrie différentielle et algébrique"
Campana, Frédéric. "Orbifoldes géométriques spéciales et classification biméromorphe des variétés kählériennes compactes." Journal of the Institute of Mathematics of Jussieu 10, no. 4 (May 28, 2010): 809–934. http://dx.doi.org/10.1017/s1474748010000101.
Повний текст джерелаKahl, Thomas. "LS-catégorie algébrique et attachement de cellules." Canadian Mathematical Bulletin 44, no. 4 (December 1, 2001): 459–68. http://dx.doi.org/10.4153/cmb-2001-046-4.
Повний текст джерелаIvorra, Florian, and Julien Sebag. "Géométrie algébrique par morceaux, $K$-équivalence et motifs." L’Enseignement Mathématique 58, no. 3 (2012): 375–403. http://dx.doi.org/10.4171/lem/58-3-6.
Повний текст джерелаToën, Bertrand, and Gabriele Vezzosi. "Caractères de Chern, traces équivariantes et géométrie algébrique dérivée." Selecta Mathematica 21, no. 2 (July 29, 2014): 449–554. http://dx.doi.org/10.1007/s00029-014-0158-6.
Повний текст джерелаBélanger, Mathieu. "La vision unificatrice de Grothendieck : au-delà de l’unité (méthodologique ?) des mathématiques de Lautman." Articles 37, no. 1 (May 14, 2010): 169–87. http://dx.doi.org/10.7202/039718ar.
Повний текст джерелаCohen, S. "Géométrie différentielle stochastique avec salts 2: discrétisation et applications des eds avec sacutes." Stochastics and Stochastic Reports 56, no. 3-4 (April 1996): 205–25. http://dx.doi.org/10.1080/17442509608834043.
Повний текст джерелаWeyl, Hermann. "Book Review: La théorie des groupes finis et continus et la géométrie différentielle traitées par méthode du repère mobile." Bulletin of the American Mathematical Society 37, no. 01 (December 21, 1999): 96——96. http://dx.doi.org/10.1090/s0273-0979-99-00821-6.
Повний текст джерелаBruce, J. W. "M. Karoubi and C. Leruste, Algebraic topology via differential geometry (London Mathematical Society Lecture Note Series 99, Cambridge University Press1987) 363 pp. 0 521 31714 2, £15.(Originally published in French as Méthodes de géométrie différentielle en topologie algébrique, Paris 1982.)." Proceedings of the Edinburgh Mathematical Society 32, no. 2 (June 1989): 335–36. http://dx.doi.org/10.1017/s0013091500028790.
Повний текст джерелаBiswas, Indranil, Sorin Dumitrescu, and Benjamin McKay. "CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO." Épijournal de Géométrie Algébrique Volume 3 (December 5, 2019). http://dx.doi.org/10.46298/epiga.2019.volume3.4460.
Повний текст джерелаDEMAILLY, Jean-Pierre. "Exposé Bourbaki 852 : Méthodes $L^2$ et résultats effectifs en géométrie algébrique". Astérisque, 6 листопада 2018. http://dx.doi.org/10.24033/ast.489.
Повний текст джерелаДисертації з теми "Géométrie différentielle et algébrique"
Bardavid, Colas. "Schémas différentiels : approche géométrique et approche fonctoriel." Rennes 1, 2010. http://www.theses.fr/2010REN1S027.
Повний текст джерелаThis thesis focuses on the theory - still under construction - of differential schemes. The aim of our work is to provide two new perspectives to this theory. The first perspective is geometric and consists in considering schemes en- dowed with vector fields instead of differential rings. In this context, we define what is a leaf and what is the trajectory of a point. With the help of these tools, we reinvest and generalize some results of differential Galois theory. Similarly, we show that the Carrà Ferro sheaf is the natural sheaf of the space of leaves of a scheme with vector field. It is also this approach that lead us to prove that, in the reduced case, the Kovacic and Keigher sheaves are isomorphic and that they have the same constant as the Carrà Ferro sheaf. The second perspective is functorial, and is based on the notion of scheme due to Toën and Vaquié. We prove that the category of differential schemes in the sense of these authors is equivalent to the category of schemes endowed with a vector field
Hivert, Pascal. "Nappes sous-régulières et équations de certaines compactifications magnifiques." Phd thesis, Université de Versailles-Saint Quentin en Yvelines, 2010. http://tel.archives-ouvertes.fr/tel-00564594.
Повний текст джерелаSablé, Franck. "Sémantique suppositionnelle et différentielle de l'algèbre discursive, d(S), appliquée aux connecteurs et, mais, si, donc." Paris 4, 2008. http://www.theses.fr/2008PA040183.
Повний текст джерелаThe main objective of the thesis is to modelize the conjunctions « et » and « mais ». The result is a unification of the discursive models of the two conjunctions, conservative of the semantics, and having both a property of factorization of the hypothetical conditional independent alternative, seen as an abstraction of concrete, modelezised in a probabilistic Bayesian language, by means of a hypothetical two-dimensionality, represented by « constitutive » hypothesis, direct witnesses of the senses, and « suppositionnal » ones, witnessing by their consequences. On the one hand the concept of supposition is extended to the modelization of « si » and « donc », by a defined plural condition (generalization of particular), and secondly, the Bayesian model is confronted with the differential geometry and with the notion of consistency in a category. A calligraphic model is developed, which aims to unify positional algebra (the words) and compositional algebra (categories). Finally, a strictly multiplicative factorization is proposed through Left self Distributivity (LD-System). Supposition, interpreted as a precise quotient, is dualy qualified as both additive and multiplicative, in order to provide a link between monoid and comonoïd; thus, supposition both creates the space of points and the space of coordinates. The thesis ends with the need to develop the concept of control in linguistic, as a confrontation between « constitutive » and « suppositionnal » hypothesis, and so to build a theory of abduction as a dynamic system
Jardim, da Fonseca Tiago. "Courbes intégrales : transcendance et géométrie." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLS515/document.
Повний текст джерелаThis thesis is devoted to the study of some questions motivated by Nesterenko's theorem on the algebraic independence of values of Eisenstein series E₂, E₄, E₆. It is divided in two parts.In the first part, comprising the first two chapiters, we generalize the algebraic differential equations satisfied by Eisenstein series that lie in the heart of Nesterenko's method, the Ramanujan equations. These generalizations, called 'higher Ramanujan equations', are obtained geometrically from vector fields naturally defined on certain moduli spaces of abelian varieties. In order to justify the interest of the higher Ramanujan equations in Transcendence Theory, we also show that values of a remarkable particular solution of these equations are related to 'periods' of abelian varieties.In the second part (third chapter), we study Nesterenko's method per se. We establish a geometric statement, containing the theorem of Nesterenko, on the transcendence of values of holomorphic maps from a disk to a quasi-projective variety over $overline{mathbf{Q}}$ defined as integral curves of some vector field. These maps are required to satisfy some integrality property, besides a growth condition and a strong form of Zariski-density that are natural for integral curves of algebraic vector fields
Couvreur, Alain. "Résidus de 2-formes différentielles sur les surfaces algébriques et applications aux codes correcteurs d'erreurs." Phd thesis, Université Paul Sabatier - Toulouse III, 2008. http://tel.archives-ouvertes.fr/tel-00376546.
Повний текст джерелаLouis, Ruben. "Les algèbres supérieures universelles des espaces singuliers et leurs symétries." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0165.
Повний текст джерелаThis thesis breaks into two main parts.1) We show that there is an equivalence of categories between Lie-Rinehart algebras over a commutative algebra O and homotopy equivalence classes of negatively graded acyclic Lie infinity-algebroids. Therefore, this result makes sense of the universal Lie infinity-algebroid of every singular foliation,without any additional assumption, and for Androulidakis-Zambon singular Lie algebroids. This extends to a purely algebraic setting the construction of the universal Q-manifold of a locally real analytic singular foliation. Also, to any ideal I of O preserved by the anchor map of a Lie-Rinehart algebra A, we associate a homotopy equivalence class of negatively graded Lie infinity-algebroids over complexes computing Tor_O(A,O/I). Several explicit examples are given.2) The second part is dedicated to some applications of the results on Lie-Rinehart algebras.a. We associate to any affine variety a universal Lie infinity-algebroid of the Lie-Rinehart algebra of its vector fields. We study the effect of some common operations on affine varieties such as blow-ups, germs at a point, etc.b. We give an interpretation of the blow-up of a singular foliation F in the sense of Omar Mohsen in term of the universal Lie infinity-algebroid of F.c. We introduce the notion of longitudinal vector fields on a graded manifold over a singular foliation, and study their cohomology. We prove that the cohomology groups of the latter vanish.d. We study symmetries of singular foliations through universal Lie infinity-algebroids. More precisely, we prove that a weak symmetry action of a Lie algebra g on a singular foliation F (which is morally an action of g on the leaf space M/F) induces a unique up to homotopy Lie infinity-morphism from g to the Differential Graded Lie Algebra (DGLA) of vector fields on a universal Lie infinity-algebroid of F. We deduce from this general result several geometrical consequences. For instance, we give an example of a Lie algebra action on an affine sub-variety which cannot be extended on the ambient space. Last, we present the notion of tower of bi-submersions over a singular foliation and lift symmetries to those
Jamet, Guillaume. "Obstruction au prolongement des formes différentielles régulières et codimension du lieu singulier." Paris 6, 2000. http://www.theses.fr/2000PA066227.
Повний текст джерелаAllaud, Emmanuel. "Variations de structures de Hodge et systèmes différentiels extérieurs." Toulouse 3, 2002. http://www.theses.fr/2002TOU30123.
Повний текст джерелаPasillas-Lépine, William. "Systèmes de contact et structures de Goursat : Théorie et application au contrôle des systèmes mécaniques non holonomes." Rouen, 2000. http://www.theses.fr/2000ROUES025.
Повний текст джерелаIn the first part of this Ph. D. Thesis, we give necessary and sufficient conditions for a Pfaffian system to be locally equivalent to the canonical contact system on the jet space Jⁿ (R, Rm). Those conditions, which are both geometric and intrinsic, can be checked explicitly and extend in a natural way classical characterizations of certain contact systems obtained by Darboux, Cartan, Bryant and Murray. When our regularity conditions does not hold, we show that Pfaffian system can nevertheless be converted into a normal form that generalizes that introduced by Kumpera and Ruiz in their work on Goursat structures. In the second part, we introduce a new local invariant for Goursat structures. This invariant, called the singularity type, contains an important part of the local geometry of Goursat structures. For example, the growth vector and abnormal curves of any Goursat structure are determined by the singularity type. We also show that any Goursat structure is locally equivalent to the n-trailer system, considered in a neighbourhood of a well-chosen point of its configuration space. In the third part, we apply our results on Goursat structures to the nonholonomic motion planning problem for the n-trailer system in a neighbourhood of a singular configuration. In our study, we also show that any Goursat structure admits locally a pair of generators that span a nilpotent Lie algebra
Pippi, Massimo. "Catégories des singularités, factorisations matricielles et cycles évanescents." Thesis, Toulouse 3, 2020. http://www.theses.fr/2020TOU30049.
Повний текст джерелаThe aim of this thesis is to study the dg categories of singularities Sing(X, s) of pairs (X, s), where X is a scheme and s is a global section of some vector bundle over X. Sing(X, s) is defined as the kernel of the dg functor from Sing(X0) to Sing(X) induced by the pushforward along the inclusion of the (derived) zero locus X0 of s in X. In the first part, we restrict ourselves to the case where the vector bundle is trivial. We prove a structure theorem for Sing(X, s) when X = Spec(B) is affine. Roughly, it tells us that every object in Sing(X, s) is represented by a complex of B-modules concentrated in n + 1 consecutive degrees (if s epsilon Bn). By specializing to the case n = 1, we generalize Orlov's theorem, which identifies Sing(X, s) with the dg category of matrix factorizations MF(X, s), to the case where s epsilon OX(X) is not flat. In the second part, we study the l-adic cohomology of Sing(X, s) (as defined by A. Blanc - M. Robalo - B. Toën and G. Vezzosi) when s is a global section of a line bundle. In order to do so, we introduce the l-adic sheaf of monodromy-invariant vanishing cycles. Using a theorem of D. Orlov generalized by J. Burke and M. Walker, we compute the l-adic realization of Sing(Spec(B), (f1 ,..., fn)) for (f1 ,..., fn) epsilon Bn. In the last chapter, we introduce the l-adic sheaves of iterated vanishing cycles of a scheme over a discrete valuation ring of rank 2. We relate one of these l-adic sheaves to the l-adic realization of the dg category of singularities of the fiber over a closed subscheme of the base
Книги з теми "Géométrie différentielle et algébrique"
Hénaut, Alain. Éléments de géométrie: Niveau M1. Paris: Ellipses, 2004.
Знайти повний текст джерелаAngéiol, Bernard. Calcul différentiel et classes caractéristiques en géométrie algébrique. Paris: Hermann, 1989.
Знайти повний текст джерелаGodbillon, Claude. Géométrie différentielle et mécanique analytique ... Paris: Hermann, 1985.
Знайти повний текст джерелаMarcel, Berger. Géométrie différentielle: Variétés, courbes et surfaces. Paris: Presses universitaires de France, 1987.
Знайти повний текст джерелаVoisin, Claire. Théorie de Hodge et géométrie algébrique complexe. Paris: Société Mathématique de France, 2002.
Знайти повний текст джерелаBonnecaze, Claude. Codage et codes géométriques: Culture, boîte à outils, codage et géométrie algébrique. Paris: Ellipses, 2007.
Знайти повний текст джерела(1994-1995), Séminaire Gaston Darboux de géométrie et topologie différentielle. Séminaire Gaston Darboux de géométrie et topologie différentielle, 1994-1995. [Montpellier, France: Université Montpellier II, Département des sciences mathématiques, 1995.
Знайти повний текст джерела(1990-1991), Séminaire Gaston Darboux de géométrie et topologie différentielle. Séminaire Gaston Darboux de géométrie et topologie différentielle, 1990-1991. [Montpellier, France: Université Montpellier II, Département des sciences mathématiques, 1991.
Знайти повний текст джерела(1988-1989), Séminaire Gaston Darboux de géométrie et topologie différentielle. Séminaire Gaston Darboux de géométrie et topologie différentielle, 1988-1989. [Montpellier, France]: Secrétariat des mathématiques, 1989.
Знайти повний текст джерела(1987-1988), Séminaire Gaston Darboux de géométrie et topologie différentielle. Séminaire Gaston Darboux de géométrie et topologie différentielle, 1987-1988. [Montpellier, France]: Secrétariat des mathématiques, 1988.
Знайти повний текст джерелаЧастини книг з теми "Géométrie différentielle et algébrique"
Serre, Jean-Pierre. "Géométrie algébrique et géométrie analytique." In Springer Collected Works in Mathematics, 402–43. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-39816-2_32.
Повний текст джерелаSerre, Jean-Pierre. "Cohomologie et géométrie algébrique." In Springer Collected Works in Mathematics, 286–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-39816-2_27.
Повний текст джерела"Chapitre III Faisceaux et variétés." In Géométrie algébrique, 43–81. EDP Sciences, 1995. http://dx.doi.org/10.1051/978-2-7598-0271-5.c006.
Повний текст джерелаRoy, M. F. "Logique Et Géométrie Algébrique Réelle." In Logic Colloquium '85, 267–79. Elsevier, 1987. http://dx.doi.org/10.1016/s0049-237x(09)70558-0.
Повний текст джерелаEELLS, James, and J. H. SAMPSON. "ÉNERGIE ET DÉFORMATIONS EN GÉOMÉTRIE DIFFÉRENTIELLE." In Harmonic Maps, 53–61. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789814360197_0002.
Повний текст джерела"14. Un peu de géométrie différentielle." In Théorie de Morse et homologie de Floer, 487–504. EDP Sciences, 2020. http://dx.doi.org/10.1051/978-2-7598-0921-9-018.
Повний текст джерела"14. Un peu de géométrie différentielle." In Théorie de Morse et homologie de Floer, 487–504. EDP Sciences, 2020. http://dx.doi.org/10.1051/978-2-7598-0921-9.c018.
Повний текст джерела"Chapitre 1 – Introduction à la géométrie différentielle." In Relativité générale et astrophysique, 1–38. EDP Sciences, 2020. http://dx.doi.org/10.1051/978-2-7598-1896-9-002.
Повний текст джерела"Chapitre 1 – Introduction à la géométrie différentielle." In Relativité générale et astrophysique, 1–38. EDP Sciences, 2020. http://dx.doi.org/10.1051/978-2-7598-1896-9.c002.
Повний текст джерела