Grobner Bases and Convex Polytopes

by Bernd Sturmfels

This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centers around a special class of ideals in a polynomial the class of toric ideals. They are characterized as those prime ideals that are generated by monomial differences or as the defining ideals of toric varieties (not necessarily normal). The interdisciplinary nature of the study of Gröbner bases is reflected by the specific applications appearing in this book. These applications lie in the domains of integer programming and computational statistics. The mathematical tools presented in the volume are drawn from commutative algebra, combinatorics, and polyhedral geometry.

Genres: Mathematics, Algebra

162 pages, Paperback

First published December 1, 1995

Reviews

[NoName66 · Rating 4 out of 5]

read two chapters about toric ring