Overview
- Two volume work containing a contemporary account on "Positivity in Algebraic Geometry"
- Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete"
- A good deal of the material has not previously appeared in book form
- Volume II is more at the research level and somewhat more specialized than Volume I
- Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications
- 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 49)
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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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Positivity for Vector Bundles
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Front Matter
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Multiplier Ideals and Their Applications
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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.
Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover editionas Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".
Authors and Affiliations
Bibliographic Information
Book Title: Positivity in Algebraic Geometry II
Book Subtitle: Positivity for Vector Bundles, and Multiplier Ideals
Authors: Robert Lazarsfeld
Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
DOI: https://doi.org/10.1007/978-3-642-18810-7
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2004
Hardcover ISBN: 978-3-540-22534-8Published: 24 August 2004
Softcover ISBN: 978-3-540-22531-7Published: 24 August 2004
eBook ISBN: 978-3-642-18810-7Published: 25 July 2017
Series ISSN: 0071-1136
Series E-ISSN: 2197-5655
Edition Number: 1
Number of Pages: XVII, 385
Topics: Algebraic Geometry, Geometry