1 citations · 3 across the 4 of their papers we have counts for
13 papers
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…
Commutator automorphisms of formal power series rings
Joseph Gubeladze, Zaza Mushkudiani
For a big class of commutative rings R every continuous R-automorphism of R[[X_1,...,X_n]] with the identity linear part is in the commutator subgroup of Aut(R[[X_1,...,X_n]]). An…
The coefficient field in the nilpotence conjecture for toric varieties
Joseph Gubeladze
The main result of the work ``The nilpotence conjecture in K-theory of toric varieties'' is extended to all coefficient fields of characteristic 0, thus covering the class of genui…
The nilpotence conjecture in K-theory of toric varieties
Joseph Gubeladze
It is shown that all nontrivial elements in higher -groups of toric varieties over a class of regular rings are annihilated by iterations of the natural Frobenius type endomorph…
Toric varieties with huge Grothendieck group
Joseph Gubeladze
In each dimension n>2 there are many projective simplicial toric varieties whose Grothendieck groups of vector bundles are at least as big as the ground field. In particular, the c…
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…