Positivity in Algebraic Geometry II Positivity for Vector Bundles, and Multiplier Ideals

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...

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Bibliographic Details
Main Author: Lazarsfeld, R.K.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2004, 2004
Edition:1st ed. 2004
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Notation and Conventions
  • Two: Positivity for Vector Bundles
  • 6 Ample and Nef Vector Bundles
  • 7 Geometric Properties of Ample Bundles
  • 8 Numerical Properties of Ample Bundles
  • Three: Multiplier Ideals and Their Applications
  • 9 Multiplier Ideal Sheaves
  • 10 Some Applications of Multiplier Ideals
  • 11 Asymptotic Constructions
  • References
  • Glossary of Notation