1 citations · 4 across the 5 of their papers we have counts for
5 papers · 1 filter
Unimodular covers of multiples of polytopes
Winfried Bruns, Joseph Gubeladze
Let P be a d-dimensional lattice polytope. We show that there exists a natural number c_d, only depending on d, such that the multiples cP have a unimodular cover for every natural…
Higher polyhedral K-groups
Winfried Bruns, Joseph Gubeladze
We define higher polyhedral K-groups for commutative rings, starting from the stable groups of elementary automorphisms of polyhedral algebras. Both Volodin's theory and Quillen's…
Polyhedral K_2
Winfried Bruns, Joseph Gubeladze
Using elementary graded automorphisms of polytopal algebras (essentially the coordinate rings of projective toric varieties) polyhedral versions of the group of elementary matrices…
Higher K-theory of toric varieties
Joseph Gubeladze
A natural higher K-theoretic analogue of the triviality of vector bundles on affine toric varieties is the conjecture on nilpotence of the multiplicative action of the natural numb…
Problems and algorithms for affine semigroups
Winfried Bruns, Joseph Gubeladze, Ngo Viet Trung
In this article we overview those aspects of the theory of affine semigroups and their algebras that have been relevant for our own research, and pose several open problems. Answer…