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. Guletski. We conclude with an example by O'Sullivan of a non-Kimura-finite motive which is Schur-finite.
Schur functors and motives / C. Mazza. - In: OBERWOLFACH REPORTS. - ISSN 1660-8933. - 1:2(2004), pp. 785-828.
Schur functors and motives
C. MazzaPrimo
2004
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. Guletski. We conclude with an example by O'Sullivan of a non-Kimura-finite motive which is Schur-finite.
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