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

ISBN-10: 3540225285

ISBN-13: 9783540225287

Edition: 2004

Authors: R. K. Lazarsfeld
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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 time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II. Both volumes are also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".

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Book details

List price: $59.99
Copyright year: 2004
Publisher: Springer
Publication date: 4/10/2007
Binding: Paperback
Pages: 387
Size: 6.00" wide x 9.00" long x 0.80" tall
Weight: 1.342

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
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