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Snowbird Lectures in Algebraic Geometry
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Snowbird Lectures in Algebraic Geometry

Snowbird Lectures in Algebraic Geometry

Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Algebraic Geometry: Presentations by Young Researchers, July 4-8, 2004, Snowbird, Utah

Ravi Vakil - Collection Contemporary Mathematics

188 pages, parution le 02/12/2005

Résumé

A significant part of the 2004 Summer Research Conference on Algebraic Geometry (Snowbird, UT) was devoted to lectures introducing the participants, in particular, graduate students and recent Ph.D.'s, to a wide swathe of algebraic geometry and giving them a working familiarity with exciting, rapidly developing parts of the field. One of the main goals of the organizers was to allow the participants to broaden their horizons beyond the narrow area in which they are working. A fine selection of topics and a noteworthy list of contributors made the resulting collection of articles a useful resource for everyone interested in getting acquainted with the modern topic of algebraic geometry.

The book consists of ten articles covering, among others, the following topics: the minimal model program, derived categories of sheaves on algebraic varieties, Kobayashi hyperbolicity, groupoids and quotients in algebraic geometry, rigid analytic varieties, and equivariant cohomology. Suitable for independent study, this unique volume is intended for graduate students and researchers interested in algebraic geometry.

Readership

Graduate students and researchers interested in algebraic geometry.

L'auteur - Ravi Vakil

Ravi Vakil is from Toronto, Canada. He received his undergraduate degree at the University of Toronto. After completing a Ph.D. at Harvard, he taught at Princeton and M.I.T. before moving to Stanford, where he is a tenure-track assistant professor. He is currently an American Mathematical Society Centennial Fellow and an Alfred P. Sloan Research Fellow.

Sommaire

  • Rationally connected varieties
  • A first glimpse at the minimal model program
  • Derived categories of sheaves: A skimming
  • The arithmetic and the geometry of Kobayashi hyperbolicity
  • Multiplier ideals in algebraic geometry
  • Mikhalkin's classification of $M$-curves in maximal position with respect to three lines
  • Groupoids and quotients in algebraic geometry
  • Two degeneration techniques for maps of curves
  • Rigid-analytic geometry and the uniformization of abelian varieties
  • Geometric invariant theory and projective toric varieties
  • An introduction to equivariant cohomology and homology, following Goresky, Kottwitz, and MacPherson
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Caractéristiques techniques

  PAPIER
Éditeur(s) American Mathematical Society (AMS)
Auteur(s) Ravi Vakil
Collection Contemporary Mathematics
Parution 02/12/2005
Nb. de pages 188
Format 17,5 x 25
Couverture Broché
Poids 360g
Intérieur Noir et Blanc
EAN13 9780821837191
ISBN13 978-0-8218-3719-1

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