2 Winfried Bruns And
نویسنده
چکیده
We overview results from our experiment of merging two seemingly unrelated disciplines – higher algebraic K-theory of rings and the theory of lattice polytopes. The usual K-theory is the “theory of a unit simplex”. The text is based on the works [BrG1, BrG5, BrG6]. Further related results are found in [BrG2, BrG3, BrG4]. At the end of the paper we propose a general conjecture on the structure of higher polyhedral K-groups for certain class of polytopes for which the coincidence of Quillen’s and Volodin’s theories is known. All rings, considered below, are commutative.
منابع مشابه
Semigroup Algebras and Discrete Geometry
— In these notes we study combinatorial and algebraic properties of affine semigroups and their algebras: (1) the existence of unimodular Hilbert triangulations and covers for normal affine semigroups, (2) the Cohen–Macaulay property and number of generators of divisorial ideals over normal semigroup algebras, and (3) graded automorphisms, retractions and homomorphisms of polytopal semigroup al...
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