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Toric varieties /

This title covers the standard topics in toric geometry; a novel feature is that each of the first nine chapters contains an introductory section on the necessary background material in algebraic geometry.

Bibliographic Details
Main Author: Cox, David A.
Other Authors: Little, John B., Schenck, Henry K., 1963-
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2011].
Series:Graduate studies in mathematics ; v. 124.
Subjects:
Toric varieties.
Table of Contents:
  • Pt. I. Basic theory of toric varieties
  • Affine toric varieties
  • Projective toric varieties
  • Normal toric varieties
  • Divisors on toric varieties
  • Homogeneous coordinates on toric varieties
  • Line bundles on toric varieties
  • Projective toric morphisms
  • The canonical divisor of a toric variety
  • Sheaf cohomology of toric varieties
  • pt. II. Topics in toric geometry
  • Toric surfaces
  • Toric resolutions and toric singularities
  • The topology of toric varieties
  • Toric Hirzebruch-Riemann-Roch
  • Toric GIT and the secondary fan
  • Geometry of the secondary fan.