### The nilpotence conjecture in K-theory of toric varieties, by Joseph Gubeladze

It is shown that all nontrivial elements in higher K-groups of toric
varieties over a class of regular rings are annihilated by iterations of the
natural Frobenius type endomorphisms. This is a higher analog of the
triviality of vector bundles on affine toric varieties.

Joseph Gubeladze <soso@math.sfsu.edu>