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Gröbner bases and convex polytopes / Bernd Sturmfels.

Book Book (©1996.)
Description: xi, 162 pages : illustrations ; 26 cm.
Publisher: Providence, R.I. : American Mathematical Society, ©1996.
1 of 1 copy available at NOBLE (All Libraries).
1 of 1 copy available at Gordon College. (Show all copies)
0 current holds with 1 total copy.
Library Location Call Number Status Due Date
Gordon College Stack Level 5 QA 251.3 .S785 1996 (Text to Phone) Available -

  • ISBN: 0821804871
  • ISBN: 9780821804872
Bibliography, etc.: Includes bibliographical references (pages 155-159) and index.
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.

Citation:

Sturmfels, Bernd. "Gröbner bases and convex polytopes." Providence, R.I. : American Mathematical Society, ©1996.

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