The nilpotence conjecture in K-theory of toric varieties
K-Theory and Homology
2007-05-23 v3 Algebraic Geometry
Abstract
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 endomorphisms. This is a higher analog of the triviality of vector bundles on affine toric varieties.
Cite
@article{arxiv.math/0209112,
title = {The nilpotence conjecture in K-theory of toric varieties},
author = {Joseph Gubeladze},
journal= {arXiv preprint arXiv:math/0209112},
year = {2007}
}
Comments
final version, accepted for publication in Inventiones mathematicae