書誌事項

Complex manifolds

James Morrow, Kunihiko Kodaira

AMS Chelsea Pub., 2006

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注記

Reprinted with errata by the American Mathematical Society, 2006

Originally published: New York : Holt, Rinehart and Winston, 1971

Bibliography: p. 186-187

内容説明・目次

内容説明

This volume serves as an introduction to the Kodaira-Spencer theory of deformations of complex structures. Based on notes taken by James Morrow from lectures given by Kunihiko Kodaira at Stanford University in 1965-1966, the book gives the original proof of the Kodaira embedding theorem, showing that the restricted class of Kahler manifolds called Hodge manifolds is algebraic. Included are the semicontinuity theorems and the local completeness theorem of Kuranishi. Readers are assumed to know some algebraic topology. Complete references are given for the results that are used from elliptic partial differential equations. The book is suitable for graduate students and researchers interested in abstract complex manifolds.

目次

Definitions and examples of complex manifolds Sheaves and cohomology Geometry of complex manifolds Applications of elliptic partial differential equations to deformations Bibliography Index Errata.

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詳細情報

  • NII書誌ID(NCID)
    BA76865739
  • ISBN
    • 9780821840559
  • LCCN
    2005053671
  • 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
  • 出版地
    Providence, Rhode Island
  • ページ数/冊数
    vii, 194 p.
  • 大きさ
    27 cm
  • 分類
  • 件名
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