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Positivity in Algebraic Geometry I Classical Setting - Line Bundles and Linear Series

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ISBN-10: 3540225285

ISBN-13: 9783540225287

Edition: 2004

Authors: R. K. Lazarsfeld

List price: $199.99
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Description:

This two volume work on "Positivity in Algebraic Geometry" contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first…    
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Book details

List price: $199.99
Copyright year: 2004
Publisher: Springer Berlin / Heidelberg
Publication date: 8/24/2004
Binding: Paperback
Pages: 387
Size: 6.10" wide x 9.25" long x 0.80" tall
Weight: 2.772
Language: English

Ample Line Bundles and Linear Series
Introduction to Part One
Ample Nef Line Bundles
Linear Series
Geometric Manifestations of Positivity
Vanishing Theorems
Local Positivity
Appendices
References
Glossary of Notation
Index