Classification Theory of Polarized Varieties

Classification Theory of Polarized Varieties book cover

Classification Theory of Polarized Varieties

Author(s): Takao Fujita (Author)

  • Publisher: Cambridge University Press
  • Publication Date: September 28, 1990
  • Edition: 1st
  • Language: English
  • Print length: 220 pages
  • ISBN-10: 0521392020
  • ISBN-13: 9780521392020

Book Description

Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of such pairs using invariants that are polarized higher-dimensional versions of the genus of algebraic curves. The heart of the book is the theory of D-genus and sectional genus developed by the author, but numerous related topics are discussed or surveyed. Proofs are given in full in the central part of the development, but background and technical results are sometimes sketched in when the details are not essential for understanding the key ideas.

Editorial Reviews

Review

“…readable, very useful book. This book belongs in the library of every geometer.” Andrew J. Sommese, Bulletin of the American Mathematical Society

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