Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Positivity in Algebraic Geometry II

Positivity for Vector Bundles, and Multiplier Ideals

Authors: Lazarsfeld, R.K.

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  • ISBN 978-3-540-22534-8
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Softcover $34.95
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  • ISBN 978-3-540-22531-7
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About this book

This two-volume book 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. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Most of the material in the present Volume II has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. Both volumes are also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete."

Reviews

From the reviews:

"The main theme of this … monograph is a comprehensive description of the fields of complex algebraic geometry connected with the notion of positivity. … The book is written for mathematicians interested in the modern development of algebraic geometry." (EMS Newsletter, September, 2006)


Buy this book

Hardcover $219.00
price for USA
  • ISBN 978-3-540-22534-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $34.95
price for USA
  • ISBN 978-3-540-22531-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Positivity in Algebraic Geometry II
Book Subtitle
Positivity for Vector Bundles, and Multiplier Ideals
Authors
Series Title
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Series Volume
49
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Hardcover ISBN
978-3-540-22534-8
Softcover ISBN
978-3-540-22531-7
Series ISSN
0071-1136
Edition Number
1
Number of Pages
XVII, 385
Topics