© 2004

Positivity in Algebraic Geometry II

Positivity for Vector Bundles, and Multiplier Ideals


Table of contents

  1. Front Matter
    Pages I-XVII
  2. Notation and Conventions

    1. Robert Lazarsfeld
      Pages 1-2
  3. Positivity for Vector Bundles

    1. Front Matter
      Pages 4-6
    2. Robert Lazarsfeld
      Pages 7-64
    3. Robert Lazarsfeld
      Pages 65-99
    4. Robert Lazarsfeld
      Pages 101-132
  4. Multiplier Ideals and Their Applications

    1. Front Matter
      Pages 134-137
    2. Robert Lazarsfeld
      Pages 139-231
    3. Robert Lazarsfeld
      Pages 233-267
    4. Robert Lazarsfeld
      Pages 269-321
  5. Back Matter
    Pages 323-385

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."


Algebraic Varieties Line Bundles Linear Series Multiplier Ideals Vanishing Theorems Vector Bundles

Authors and affiliations

  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA

Bibliographic information

  • Book Title Positivity in Algebraic Geometry II
  • Book Subtitle Positivity for Vector Bundles, and Multiplier Ideals
  • Authors R.K. Lazarsfeld
  • Series Title Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-22534-8
  • Softcover ISBN 978-3-540-22531-7
  • eBook ISBN 978-3-642-18810-7
  • Series ISSN 0071-1136
  • Edition Number 1
  • Number of Pages XVII, 385
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebraic Geometry
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking