Higher-Dimensional Algebraic Geometry

Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The author's goal is to provide an easily accessible introducti...

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Bibliographic Details
Main Author: Debarre, Olivier
Format: eBook
Language:English
Published: New York, NY Springer New York 2001, 2001
Edition:1st ed. 2001
Series:Universitext
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Curves and Divisors on Algebraic Varieties
  • 2 Parametrizing Morphisms
  • 3 “Bend-and-Break” Lemmas
  • 4 Uniruled and Rationally Connected Varieties
  • 5 The Rational Quotient
  • 6 The Cone of Curves in the Smooth Case
  • 7 Cohomological Methods
  • References