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math.KT2004★ 1 cited
Polytopes and K-theory
Winfried Bruns, Joseph Gubeladze
This is an overview of results from our experiment of merging two seemingly unrelated disciplines - higher algebraic K-theory of rings and the theory of lattice polytopes. The usua…
math.KT2001
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…
math.KT2001
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…