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Combinatorial Convexity and Algebraic Geometry /

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This text provides an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry and to the fascinating connections between these fields: the theory of toric varieties (or torus embeddings). The fist part of the book contains an introduction to the theory of polytopes...

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Bibliographic Details
Main Author: Ewald, Günter
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1996.
Series:Graduate texts in mathematics ; 168.
Subjects:
Mathematics.
Geometry, Algebraic.
Combinatorial analysis.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Convex Bodies
  • Combinatorial Theory of Polytopes and polyhedral sets
  • Polyhedral spheres
  • Minkowski sum and mixed volume
  • Lattice Polytopes and fans
  • Toric Varieties
  • Sheaves and projective toric varieties
  • Cohomology of toric varieties.