Positivity in Algebraic Geometry I Classical Setting: Line Bundles and Linear Series

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...

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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
  • One: Ample Line Bundles and Linear Series
  • to Part One
  • 1 Ample and Nef Line Bundles
  • 2 Linear Series
  • 3 Geometric Manifestations of Positivity
  • 4 Vanishing Theorems
  • 5 Local Positivity
  • Appendices
  • A Projective Bundles
  • B Cohomology and Complexes
  • B.1 Cohomology
  • B.2 Complexes
  • References
  • Glossary of Notation