| 書目名稱 | Polytopes, Rings, and K-Theory | | 編輯 | Joseph Gubeladze,Winfried Bruns | | 視頻video | http://file.papertrans.cn/752/751428/751428.mp4 | | 概述 | Examines interactions of polyhedral discrete geometry and algebra.Presents several central results in all three areas of the exposition-from discrete geometry, commutative algebra, and K-theory.Has co | | 叢書名稱 | Springer Monographs in Mathematics | | 圖書封面 |  | | 描述 | .This book treats the interaction between discrete convex geometry, commutative ring theory, algebraic K-theory, and algebraic geometry. The basic mathematical objects are lattice polytopes, rational cones, affine monoids, the algebras derived from them, and toric varieties. The book discusses several properties and invariants of these objects, such as efficient generation, unimodular triangulations and covers, basic theory of monoid rings, isomorphism problems and automorphism groups, homological properties and enumerative combinatorics. The last part is an extensive treatment of the K-theory of monoid rings, with extensions to toric varieties and their intersection theory...?...This monograph?has been written with a view towards graduate students and researchers who want to study the cross-connections of algebra and discrete convex geometry. While the text has been written from an algebraist‘s view point, also specialists in lattice polytopes and related objects will find an up-to-date discussion of affine monoids and their combinatorial structure. Though?the authors?do not explicitly formulate algorithms, the book takes a constructive approach wherever possible...Winfried Bruns | | 出版日期 | Book 2009 | | 關(guān)鍵詞 | Grad; K-theory; Lattice; algebra; commutative algebra; discrete geometry | | 版次 | 1 | | doi | https://doi.org/10.1007/b105283 | | isbn_softcover | 978-1-4419-2617-3 | | isbn_ebook | 978-0-387-76356-9Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag New York 2009 |
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