Deformation theory

著者

• Hartshorne, Robin

書誌事項

Deformation theory

Robin Hartshorne

（Graduate texts in mathematics, 257）

Springer, c2010

• : pbk

注記

Some copies have another copyright year 2009 (c2010 not appeared)

Includes bibliographical references (p. [217]-224) and index

内容説明・目次

内容説明

The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley.

目次

First-Order Deformations.- Higher-Order Deformations.- Formal Moduli.- Global Questions.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB00453538
• ISBN:
  • 9781441915955
  • 9781461425205
• LCCN: 2009939327
• 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: New York
• ページ数/冊数: vi, 234 p.
• 大きさ: 24 cm
• 件名:
  • LCSH : Deformations of singularities
  • LCSH : Geometry, Algebraic
• 親書誌ID:
  • BA00010074