Combinatorial Convexity and Algebraic Geometry

Guenter Ewald

Springer

2011

374 páginas

12h 28m

ISBN-13: 9781461284765

The book is an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry, and to the connections between these fields, known as the theory of toric varieties. The first part of the book covers the theory of polytopes and provides large parts of the mathematical background of linear optimization and of the geometrical aspects in computer science. The second part introduces toric varieties in an elementary way.