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arXiv · 1010.3932

Schur functors and motives

Carlo Mazza
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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.

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Carlo Mazza. 2010-10-19. Schur functors and motives. https://arxiv.org/abs/1010.3932

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