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Michel Brion, Laurent Bonavero's Geometry of toric varieties PDF

By Michel Brion, Laurent Bonavero

ISBN-10: 2856291228

ISBN-13: 9782856291221

Résumé :
Géométrie des variétés toriques
Ce quantity rassemble des textes issus de l'école d'été « Géométrie des variétés toriques » (Grenoble, 19 juin-7 juillet 2000). Ils reprennent, sous une forme plus détaillée, des cours et des exposés de séminaire des deuxième et troisième semaines de l'école, l. a. première semaine ayant été consacrée à des cours introductifs. On trouvera dans l'article de D. Cox un landscape des travaux récents en géométrie torique et de leurs purposes, qui met en viewpoint les autres textes du présent volume.

Mots clefs : Variétés toriques

Abstract:
This quantity gathers texts originated in the summertime tuition ``Geometry of Toric Varieties'' (Grenoble, June 19-July 7, 2000). those are improved models of lectures brought in the course of the moment and 3rd weeks of the varsity, the 1st week having been dedicated to introductory lectures. The paper through D. Cox is an outline of contemporary paintings in toric kinds and its purposes, placing into point of view the opposite contributions of the current volume.

Key phrases: Toric varieties

Class. math. : 14M25

Table of Contents

* D. A. Cox -- replace on toric geometry
* W. Bruns and J. Gubeladze -- Semigroup algebras and discrete geometry
* A. Craw and M. Reid -- the way to calculate A-Hilb C3
* D. I. Dais -- Resolving three-dimensional toric singularities
* D. I. Dais -- Crepant resolutions of Gorenstein toric singularities and top sure theorem
* J. Hausen -- generating stable quotients through embedding into toric varieties
* Y. Ito -- particular McKay correspondence
* Y. Tschinkel -- Lectures on peak zeta features of toric varieties
* J. A. Wiśniewski -- Toric Mori idea and Fano manifolds

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Extra resources for Geometry of toric varieties

Example text

Gonciulea and V. Lakshmibai, Degenerations of flag and Schubert varieties to toric varieties, Transform. Groups 1 (1996), 215–248. [128] N. Gonciulea and V. Lakshmibai, Schubert varieties, toric varieties, and ladder determinantal varieties, Ann. Inst. Fourier (Grenoble) 47 (1997), 1013–1064. [129] P. Gonz´ alez P´erez, Quasi-ordinary singularities via toric geometry, Thesis, Univ. de La Laguna, 2000. [130] P. Gonz´ alez P´erez, Singularit´es quasi-ordinaires toriques et poly`edre de Newton du discriminant, Canadian J.

Bruns and J. Gubeladze, Polytopal linear retractions, Trans. Amer. Math. Soc. AG/9911006. [74] W. Bruns and J. Gubeladze, Semigroup algebras and discrete geometry, this volume. [75] W. Bruns, J. Gubeladze and N. V. Trung, Normal polytopes, triangulations, and Koszul algebras, J. Reine Angew. Math. 485 (1997), 123–160. [76] A. Buch, J. Thomsen, N. Lauritzen and V. Mehta, The Frobenius morphism on a toric variety, Tohoku Math. J. 49 (1997), 355–366. A. COX [77] V. Buchstaber and T. Panov, Torus actions and the combinatorics of polytopes (Russian), Tr.

Morrison, editors), Proc. Symp. Pure Math. 2, AMS, Providence, RI, 1997, 389–436. [91] D. Cox and S. Katz, Mirror Symmetry and Algebraic Geometry, Math. Surv. Mono. 68, AMS, Providence, RI, 1998. [92] A. AG/0010053. [93] A. Craw and M. AG/9909085. [94] D. Dais, Crepant resolutions of Gorenstein toric singularities and upper bound theorem, this volume. [95] D. Dais, On the string-theoretic Euler number of a class of absolutely isolated singularities, Manuscripta Math. AG/0011118. [96] D. Dais, Resolving 3-dimensional toric singularities, this volume.

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Geometry of toric varieties by Michel Brion, Laurent Bonavero


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