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

Positivity in Algebraic Geometry I

Classical Setting: Line Bundles and Linear Series

Authors: Lazarsfeld, R.K.

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  • ISBN 978-3-642-18808-4
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Hardcover $169.99
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  • ISBN 978-3-540-22533-1
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Softcover $74.99
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  • ISBN 978-3-540-22528-7
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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.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • Notation and Conventions

    Pages 1-2

    Lazarsfeld, Prof. Robert

  • Introduction to Part One

    Pages 5-6

    Lazarsfeld, Prof. Robert

  • Ample and Nef Line Bundles

    Pages 7-119

    Lazarsfeld, Prof. Robert

  • Linear Series

    Pages 121-183

    Lazarsfeld, Prof. Robert

  • Geometric Manifestations of Positivity

    Pages 185-237

    Lazarsfeld, Prof. Robert

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-642-18808-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-540-22533-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $74.99
price for USA in USD
  • ISBN 978-3-540-22528-7
  • 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 I
Book Subtitle
Classical Setting: Line Bundles and Linear Series
Authors
Series Title
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Series Volume
48
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-18808-4
DOI
10.1007/978-3-642-18808-4
Hardcover ISBN
978-3-540-22533-1
Softcover ISBN
978-3-540-22528-7
Series ISSN
0071-1136
Edition Number
1
Number of Pages
XVIII, 387
Topics