ENGLISH

Grobner bases and convex polytopes

By Bernd Sturmfels

Book information

Publisher
American Mathematical Society
Year
1996
ISBN
0-8218-0487-1, 9780821804872
Language
english
Format
DJVU
Filesize
2 MB (2026766 bytes)
Series
University Lecture Series 008
Pages
176\176
Library
kolxoz
DPI
600
Time added
2015-12-12 14:00:00

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

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