Schur functors and motives
K-Theory and Homology
2010-10-20 v1 Algebraic Geometry
Abstract
In this article we study the class of Schur-finite motives, that is, motives which are annihilated by a Schur functor. We compare this notion to a similar one due to Kimura. In particular, we show that the motive of any curve is Kimura-finite. This last result has also been obtained by V. Guletskii. We conclude with an example by O'Sullivan of a non Kimura-finite motive which is Schur-finite.
Keywords
Cite
@article{arxiv.1010.3932,
title = {Schur functors and motives},
author = {Carlo Mazza},
journal= {arXiv preprint arXiv:1010.3932},
year = {2010}
}