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Grobner Bases and Convex Polytopes

Bernd Sturmfels

出版	American Mathematical Soc., 1996
主題	Mathematics / Discrete MathematicsMathematics / Group TheoryMathematics / CombinatoricsMathematics / Topology
ISBN	08218048719780821804872
URL	http://books.google.com.hk/books?id=K-bxBwAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centres 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.