Classification Theory of Polarized Varieties

Name: Classification Theory of Polarized Varieties
Price: 46.53 USD
Availability: InStock
ISBN: 9780521392020

ISBN-10: 0521392020

ISBN-13: 9780521392020

Edition: N/A

Authors: Takao Fujita, J. W. S. Cassels, N. J. Hitchin

List price: $44.99

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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.

Book details

List price: $44.99
Publisher: Cambridge University Press
Publication date: 8/23/1990
Binding: Paperback
Pages: 220
Size: 6.02" wide x 8.94" long x 0.47" tall
Weight: 0.704
Language: English



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