University Lecture Series Grobner Bases and Convex Polytopes

Type

Book

Authors

Sturmfels ( Sturmfels, Bernd )

ISBN 10

0821804871

ISBN 13

9780821804872

Tags

Abstract, Group Theory, Algebra & Trigonometry

Series Name

University Lecture Series

Description

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 ring: 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. - from Amzon

Number of Copies