Further study of schemes
著者
書誌事項
Further study of schemes
（Translations of mathematical monographs, v. 218）（Iwanami series in modern mathematics, . Algebraic geometry ; 3）
American Mathematical Society, c2003
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代数幾何
Daisū kika
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注記
Originally published: Tokyo : Iwanami Shoten, 1998
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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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