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Algebraic Geometry 3
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Algebraic Geometry 3

Algebraic Geometry 3

Further Study of Schemes

Kenji Ueno - Collection Translations of Mathematical Monographs

222 pages, parution le 14/08/2003

Résumé

Algebraic geometry plays an important role in several branches of science and technology. This is the last of three volumes by Kenji Ueno algebraic geometry. This, in together with Algebraic Geometry 1 and Algebraic Geometry 2, makes an excellent textbook for a course in algebraic geometry.

In this volume, the author goes beyond introductory notions and presents the theory of schemes and sheaves with the goal of studying the properties necessary for the full development of modern algebraic geometry. The main topics discussed in the book include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion, and Zariski's main theorem. Ueno also presents the theory of algebraic curves and their Jacobians and the relation between algebraic and analytic geometry, including Kodaira's Vanishing Theorem.

The book contains numerous exercises and problems with solutions. It is suitable for a graduate course on algebraic geometry or for independent study.

L'auteur - Kenji Ueno

Kenji Ueno, Kyoto University, Japan

Sommaire

  • Fundamental properties of scheme theory
  • Algebraic curves and Jacobi varieties
  • Algebraic geometry and analytic geometry
  • Overview and references
  • Solutions to problems
  • Solutions to exercises
  • Index
  • Copyr/reprinting page
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Caractéristiques techniques

  PAPIER
Éditeur(s) American Mathematical Society (AMS)
Auteur(s) Kenji Ueno
Collection Translations of Mathematical Monographs
Parution 14/08/2003
Nb. de pages 222
Couverture Broché
Poids 281g
Intérieur Noir et Blanc
EAN13 9780821813584
ISBN13 978-0-8218-1358-4

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