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Algebraic Geometry 3: Further Study of Schemes (Translations of Mathematical Monographs Vol. 218)

Posted on 2010-03-16




Name:Algebraic Geometry 3: Further Study of Schemes (Translations of Mathematical Monographs Vol. 218)
ASIN/ISBN:0821813587
Language:English
File size:4.2 Mb
Publish Date: 2003-07
ISBN: 0821813587
Pages: 222 pages
File Size: 4,2 MB
Other Info: American Mathematical Society; DJVU
   Algebraic Geometry 3: Further Study of Schemes (Translations of Mathematical Monographs Vol. 218)

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Kenji Ueno, Goro Kato ""

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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