Gröbner bases and convex polytopes

Gröbner bases and convex polytopes

by Sturmfels, Bernd

Type Book
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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 Grobner bases is reflected by the specific applications appearing in this book. These applicatio…

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Title Statements

  • Full title :Gröbner bases and convex polytopes / Bernd Sturmfels.

Summary

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 Grobner 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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Edition Statements

  • Publication Date:©1996.

Publication Statements

The Physical Object

  • Description:xi, 162 pages : : illustrations ; : 26 cm

Edition Identifiers

  • ISBN:0821804871, 9780821804872
  • oclc:ocm33358721
  • LC Classification:QA251.3
  • Dewey Decimal:512/.24

Subjects

31.23 rings, algebras Bases de Gröbner Commutatieve algebra's Convex polytopes Gröbner bases Gröbner-Basis Gröbner, Bases de Konvexes Polytop Polytop Polytopes convexes

Writers

Sturmfels, Bernd

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