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Polytopes, Rings, and K-theory
Bruns, Winfried; Gubeladze, Joseph
€ 248.07
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Description for Polytopes, Rings, and K-theory
Hardback. 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 discrete geometry, to commutative algebra, and K-theory. Series: Springer Monographs in Mathematics. Num Pages: 475 pages, 52 black & white illustrations, biography. BIC Classification: PBF; PBMW; PBPD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 26. Weight in Grams: 840.
For every mathematician, ring theory and K-theory are intimately connected: al- braic K-theory is largely the K-theory of rings. At ?rst sight, polytopes, by their very nature, must appear alien to surveyors of this heartland of algebra. But in the presence of a discrete structure, polytopes de?ne a?ne monoids, and, in their turn, a?ne monoids give rise to monoid algebras. Teir spectra are the building blocks of toric varieties, an area that has developed rapidly in the last four decades. From a purely systematic viewpoint, "monoids" should therefore replace "po- topes" in the title of the book. However, such a ... Read more
For every mathematician, ring theory and K-theory are intimately connected: al- braic K-theory is largely the K-theory of rings. At ?rst sight, polytopes, by their very nature, must appear alien to surveyors of this heartland of algebra. But in the presence of a discrete structure, polytopes de?ne a?ne monoids, and, in their turn, a?ne monoids give rise to monoid algebras. Teir spectra are the building blocks of toric varieties, an area that has developed rapidly in the last four decades. From a purely systematic viewpoint, "monoids" should therefore replace "po- topes" in the title of the book. However, such a ... Read more
Product Details
Format
Hardback
Publication date
2009
Publisher
Springer-Verlag New York Inc. United States
Number of pages
475
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
461
Place of Publication
New York, NY, United States
ISBN
9780387763552
SKU
V9780387763552
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Polytopes, Rings, and K-theory
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 chapter, this book will serve as a welcome comprehensive monograph for research on these rich and fascinating subjects.” (T. Oda, Mathematical Reviews, Issue 2010 ... Read more