Overview
- Two volume work containing a contemporary account on Positivity in Algebraic Geometry
- A good deal of the material has not previously appeared in book form
- Volume I is more elementary than Volume II and can be read without access to Volume II
- Topics in Volume I: ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini, vanishing theorems, local positivity
- Contains many concrete examples, applications, and pointers to further developments
- Includes supplementary material: sn.pub/extras
Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics (MATHE3, volume 48)
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Table of contents (7 chapters)
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Front Matter
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Notation and Conventions
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Ample Line Bundles and Linear Series
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Positivity in Algebraic Geometry I
Book Subtitle: Classical Setting: Line Bundles and Linear Series
Authors: Robert Lazarsfeld
Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
DOI: https://doi.org/10.1007/978-3-642-18808-4
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2004
Hardcover ISBN: 978-3-540-22533-1Published: 24 August 2004
Softcover ISBN: 978-3-540-22528-7Published: 24 August 2004
eBook ISBN: 978-3-642-18808-4Published: 25 July 2017
Series ISSN: 0071-1136
Series E-ISSN: 2197-5655
Edition Number: 1
Number of Pages: XVIII, 387
Topics: Algebraic Geometry, Geometry