Introduction to Toric Varieties. (AM-131), Volume 131

Name: Introduction to Toric Varieties. (AM-131), Volume 131
Price: 63.18 USD
Availability: InStock
ISBN: 9780691000497

ISBN-10: 0691000492

ISBN-13: 9780691000497

Edition: 1993

Authors: William Fulton

List price: $84.00

This item qualifies for FREE shipping.

30 day, 100% satisfaction guarantee!

Buy new: $63.18

Marketplace

2 new & used from $74.62

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Description:

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean space with vertices on lattice points. Since many algebraic geometry notions such as singularities, birational maps, cycles, homology, intersection theory, and Riemann-Roch translate into simple facts about polytopes, toric varieties provide a marvelous source of examples in algebraic geometry. In the other direction, general facts from algebraic geometry have implications for such polytopes, such as to the problem of the number of lattice points they contain. In spite of the fact that toric varieties are very special in the spectrum of all algebraic…

Book details

List price: $84.00
Copyright year: 1993
Publisher: Princeton University Press
Publication date: 8/1/1993
Binding: Paperback
Pages: 180
Size: 6.14" wide x 9.17" long x 0.67" tall
Weight: 0.770




Definitions and examples



Introduction



Convex polyhedral cones



Affine toric varieties



Fans and toric varieties



Toric varieties from polytopes



Singularities and compactness



Local properties of toric varieties



Surfaces; quotient singularities



One-parameter subgroups; limit points



Compactness and properness



Nonsingular surfaces



Resolution of singularities



Orbits, topology, and line bundles



Orbits



Fundamental groups and Euler characteristics



Divisors



Line bundles



Cohomology of line bundles



Moment maps and the tangent bundle



The manifold with singular corners



Moment map



Differentials and the tangent bundle



Serre duality



Betti numbers



Intersection theory



Chow groups



Cohomology of nonsingular toric varieties



Riemann-Roch theorem



Mixed volumes



Bezout theorem



Stanley's theorem


Notes


References


Index of Notation


Index