Title Statements
- Full title :Introduction to toric varieties / by William Fulton.
Edition Statements
- Publication Date:1993.
Publication Statements
- Publisher(s):Princeton University Press
- Place of Publication:Princeton, N.J
- Language:eng
- Publication Date:1993.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:0691033323, 9780691033327, 0691000492, 9780691000497, 1400882524, 9781400882526
- oclc:on1175626847
- LC Classification:QA571
- Dewey Decimal:516.3/53
Table of Contents
Cover; Title; Copyright; Dedication; CONTENTS; Chapter 1 Definitions and examples ; 1.1 Introduction ; 1.2 Convex polyhedral cones ; 1.3 Affine toric varieties ; 1.4 Fans and toric varieties ; 1.5 Toric varieties from polytopes ; Chapter 2 Singularities and compactness.
2.1 Local properties of toric varieties 2.2 Surfaces; quotient singularities ; 2.3 One-parameter subgroups; limit points ; 2.4 Compactness and properness ; 2.5 Nonsingular surfaces ; 2.6 Resolution of singularities ; Chapter 3 Orbits, topology, and line bundles ; 3.1 Orbits.
3.2 Fundamental groups and Euler characteristics 3.3 Divisors ; 3.4 Line bundles ; 3.5 Cohomology of line bundles ; Chapter 4 Moment maps and the tangent bundle ; 4.1 The manifold with singular corners ; 4.2 Moment map ; 4.3 Differentials and the tangent bundle ; 4.4 Serre duality.
4.5 Betti numbers Chapter 5 Intersection theory ; 5.1 Chow groups ; 5.2 Cohomology of nonsingular toric varieties ; 5.3 Riemann-Roch theorem ; 5.4 Mixed volumes ; 5.5 Bézout theorem ; 5.6 Stanley's theorem ; Notes ; References ; Index of Notation ; Index.
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