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Introduction to toric varieties

Author: William Fulton
Publisher: Princeton, N.J. : Princeton University Press, 1993.
Series: Annals of mathematics studies, no. 131.; William H. Roever lectures in geometry.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects. This text aims to develop the foundations of the study of toric varieties, and describe these  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: William Fulton
ISBN: 0691033323 9780691033327 0691000492 9780691000497
OCLC Number: 28066535
Description: xi, 157 pages : illustrations ; 25 cm.
Contents: Ch. 1Definitions and examples 1.2Convex polyhedral cones 1.3Affine toric varieties 1.4Fans and toric varieties 1.5Toric varieties from polytopes Ch. 2Singularities and compactness 2.2Surfaces; quotient singularities 2.3One-parameter subgroups; limit points 2.4Compactness and properness 2.5Nonsingular surfaces 2.6Resolution of singularities Ch. 3Orbits, topology, and line bundles 3.2Fundamental groups and Euler characteristics 3.3Divisors 3.4Line bundles 3.5Cohomology of line bundles Ch. 4Moment maps and the tangent bundle 4.2Moment map 4.3Differentials and the tangent bundle 4.4Serre duality 4.5Betti numbers Ch. 5Intersection theory 5.2Cohomology of nonsingular toric varieties 5.3Riemann-Roch theorem 5.4Mixed volumes 5.5Bezout theorem 5.6Stanley's theorem Notes References Index of Notation Index
Series Title: Annals of mathematics studies, no. 131.; William H. Roever lectures in geometry.
Responsibility: by William Fulton.
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