書誌事項

Further study of schemes

Kenji Ueno ; translated by Goro Kato

(Translations of mathematical monographs, v. 218)(Iwanami series in modern mathematics, . Algebraic geometry ; 3)

American Mathematical Society, c2003

タイトル別名

スキーム論の展開

代数幾何

Daisū kika

大学図書館所蔵 件 / 30

この図書・雑誌をさがす

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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詳細情報

  • NII書誌ID(NCID)
    BA62633881
  • ISBN
    • 0821813587
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    jpn
  • 出版地
    Providence, R.I.
  • ページ数/冊数
    viii, 222 p.
  • 大きさ
    22 cm
  • 親書誌ID
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