Holmstrom Finite-dimensional motives

Finite-dimensional motives

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Finite-dimensional motives

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Finite-dimensional motives

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Finite-dimensional motives

Notion introduced by Kimura, see also O’Sullivan. A weaker condition is that of Schur finiteness; see Ayoub: The motivic vanishing cycle and the conservation conjecture (in Nagel and Peters, eds).

See Pure motives


Finite-dimensional motives

Kimura: Chow motives can be finite-dimensional, in some sense.

Guletskii article(s).

Mazza and Del Padrone on Schur finiteness. Looks very good.


Finite-dimensional motives

Articles by Jannsen and by Kimura in the Nagel-Peters volume II (Algebraic cycles and motives)

Chapter 12 of André.

Bourbaki seminar by André

Andre: Motifs de dimension finie, S´eminaire Bourbaki.Vol. 2003/2004. Ast´erisque No. 299 (2005), Exp.No. 929, viii, 115–145. Very good, and long review in MR

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nLab page on Finite-dimensional motives

Created on June 10, 2014 at 21:14:54 by Andreas Holmström