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math.KT2002★ 1 cited
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…
math.KT2002★ 1 cited
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…
math.AG2002
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…