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Item Details
Title: ALGEBRAIC GEOMETRY
FURTHER STUDY OF SCHEMES
Volume: v. 3
By: Kenji Ueno
Format: Paperback

List price: £45.95


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ISBN 10: 0821813587
ISBN 13: 9780821813584
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 June, 2003
Series: Translations of Mathematical Monographs Reprint No. 218
Pages: 222
Description: Algebraic geometry plays an important role in several branches of science and technology. This book discusses dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion, and Zariski's main theorem. It also presents the theory of algebraic curves and their Jacobians.
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. The book contains numerous exercises and problems with solutions. It is suitable for a graduate course on algebraic geometry or for independent study.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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