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Classification Theory of Polarized Varieties : London Mathematical Society Lecture Note Series - Takao Fujita

Classification Theory of Polarized Varieties

London Mathematical Society Lecture Note Series

Paperback

Published: 22nd October 1990
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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.

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

Introduction
Delta-genus and the hyperplane section method
Sectional genus and adjoint bundles
Related topics
Varieties of small degrees
Varieties of small codimension
Varieties of small secant varieties
Varieties with many lines
Hyperelliptic polarised varieties
Castelnuovo bounds and Castelnuovo varieties
Ample vector bundles with small invariants
Background information
Computer constructed classification of polarised varieties
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521392020
ISBN-10: 0521392020
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 220
Published: 22nd October 1990
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.3
Weight (kg): 0.33