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Introduction to Toric Varieties. (Am-131), Volume 131
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Introduction to Toric Varieties. (Am-131), Volume 131 Paperback - 1993

by William Fulton

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From the publisher

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.

Details

  • Title Introduction to Toric Varieties. (Am-131), Volume 131
  • Author William Fulton
  • Binding Paperback
  • Edition [ Edition: First
  • Pages 180
  • Volumes 1
  • Language ENG
  • Publisher Princeton University Press
  • Publication date 1993-08-01
  • Features Maps
  • ISBN 9780691000497 / 0691000492
  • Weight 0.56 lbs (0.25 kg)
  • Dimensions 9.5 x 6.12 x 0.45 in (24.13 x 15.54 x 1.14 cm)
  • Category Mathematics
  • Library of Congress subjects Toric varieties
  • Library of Congress Catalogue Number 93011045
  • Dewey Decimal Code 516.353

About the author

William Fulton is Professor of Mathematics at the University of Chicago.

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

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

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

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Paperback / softback. New. 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.
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Introduction To Toric Varieties
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Introduction to Toric Varieties. (AM-131) [Paperback] Fulton, William
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Introduction to Toric Varieties. (AM-131) [Paperback] Fulton, William
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Introduction to Toric Varieties. [AM-131]
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Introduction to Toric Varieties. (AM–131), Volume 131
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Introduction to Toric Varieties. (AM-131)
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Introduction to Toric Varieties. (AM-131)
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