1300 36 33 32

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 varieties, they provide a remarkably useful testing ground for general theories. The aim of this mini-course is to develop the foundations of the study of toric varieties, with examples, and describe some of these relations and applications. The text concludes with Stanley's theorem characterizing the numbers of simplicies in each dimension in a convex simplicial polytope. Although some general theorems are quoted without proof, the concrete interpretations via simplicial geometry should make the text accessible to beginners in algebraic geometry.

Buy Introduction to Toric Varieties book by William Fulton from Australia's Online Bookstore, Boomerang Books.

Book Details

ISBN: 9780691000497
ISBN-10: 0691000492
Format: Paperback
(229mm x 152mm x 11mm)
Pages: 180
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 12-Jul-1993
Country of Publication: United States

Other Editions

Reviews

» Have you read this book? We'd like to know what you think about it - write a review about Introduction to Toric Varieties book by William Fulton and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)

Write Review


Books By Author William Fulton

Regional City by William Fulton

The Regional City

Hardback, January 2001
$81.90
Young Tableaux by William Fulton

Young Tableaux

Paperback, December 1996
$80.96