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Introduction to Toric Varieties
William Fulton
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Description for Introduction to Toric Varieties
Paperback. 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 relations and applications. It includes Stanley's theorem characterizing the numbers of simplicies in each dimension in a convex simplicial polytope. Series: Annals of Mathematics Studies. Num Pages: 180 pages, Ill. BIC Classification: PBF; PBM. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 150 x 12. Weight in Grams: 258.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
1993
Publisher
Princeton University Press United States
Number of pages
180
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
180
Place of Publication
New Jersey, United States
ISBN
9780691000497
SKU
V9780691000497
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About William Fulton
William Fulton is Professor of Mathematics at the University of Chicago.
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