Some nilpotence theorems for Chow motives

Humberto A. Diaz

Published 2017-08-18Version 1

Using fundamental results of Deligne, we prove (under a suitable hypothesis) a nilpotence theorem for Chow motives with rational coefficients and give some applications of it (e.g., show how it may be used to prove the Chow-K\"unneth conjecture for certain varieties). We also prove a torsion nilpotence result for surfaces, using the same strategy.