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Algebraic Geometry 3: Further Study of Schemes (Translations of Mathematical Monographs) - Softcover

 
9780821813584: Algebraic Geometry 3: Further Study of Schemes (Translations of Mathematical Monographs)

Synopsis

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.

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"[It is] very likely to become one of the great international standard texts." ---- Zentralblatt MATH

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  • PublisherAmerican Mathematical Society
  • Publication date2003
  • ISBN 10 0821813587
  • ISBN 13 9780821813584
  • BindingPaperback
  • LanguageEnglish
  • Number of pages222

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