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˘ı. 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: K-THEORY. - ISSN 0920-3036. - 33:2(2004), pp. 89-106.

Schur functors and motives

C. Mazza
Primo
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˘ı. We conclude with an example by O’Sullivan of a non-Kimura-finite motive which is Schur-finite.
Schur-finite motives, Kimura-finite, motives
Settore MAT/02 - Algebra
Settore MAT/03 - Geometria
2004
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/171203
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