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:xi, 157 pages : : illustrations ; : 25 cm.
Edition Identifiers
- ISBN:0691033323, 9780691033327, 0691000492, 9780691000497
- oclc:ocm28066535
- LC Classification:QA571
- Dewey Decimal:516.3/53
Table of Contents
Ch. 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 -- Ch. 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 -- Ch. 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 -- Ch. 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 -- Ch. 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. Bezout theorem. 5.6. Stanley's theorem.
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