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Polytopes, rings, and K-theory

Author: Winfried Bruns; Joseph Gubeladze
Publisher: Dordrecht ; New York : Springer, ©2009.
Series: Springer monographs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Examines interactions of polyhedral discrete geometry and algebra. This title presents several central results in all three areas of the exposition - discrete geometry, commutative algebra, and K-theory. The only prerequisite for the reader is a background in algebra, and the basics of polyhedral geometry have been included in Chapter 1.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Bruns, Winfried, 1946-
Polytopes, rings, and K-theory.
Dordrecht ; New York : Springer, ©2009
(OCoLC)416289393
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Winfried Bruns; Joseph Gubeladze
ISBN: 9780387763569 0387763562 0387763554 9780387763552
OCLC Number: 432702924
Language Note: English.
Description: 1 online resource (xiii, 461 pages) : illustrations.
Contents: Polytopes, cones, and complexes --
Affine monoids and their Hilbert bases --
Multiples of lattice polytopes --
Monoid algebras --
Isomorphisms and automorphisms --
Homological properties and Hilbert functions --
Gröbner bases, triangulations, and Koszul algebras --
Projective modules over monoid rings --
Bass-Whitehead groups of monoid rings --
Varieties.
Series Title: Springer monographs in mathematics.
Responsibility: Winfried Bruns, Joseph Gubeladze.

Abstract:

This book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the presentation of several central results in all three areas of the exposition - from  Read more...

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From the reviews:"The book deals with the convex geometry of the polyhedral cones CM and related topics ... . With an extensive list of references together with historical notes at the end of each Read more...

 
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