We give a new construction, based on categorical logic, of Nori’s Q-linear abelian category of mixed motives associated to a cohomology or homology functor. This new construction makes sense for infinite-dimensional vector spaces as well, so that it associates a Q-linear abelian category of mixed motives to any (co)homology functor.

Syntactic categories for Nori motives / L. Barbieri-Viale, O. Caramello, L. Lafforgue. - In: SELECTA MATHEMATICA. - ISSN 1022-1824. - 24:4(2018), pp. 3619-3648.

Syntactic categories for Nori motives

L. Barbieri-Viale;
2018

Abstract

We give a new construction, based on categorical logic, of Nori’s Q-linear abelian category of mixed motives associated to a cohomology or homology functor. This new construction makes sense for infinite-dimensional vector spaces as well, so that it associates a Q-linear abelian category of mixed motives to any (co)homology functor.
Logica; Motivi
Settore MAT/02 - Algebra
2018
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/607613
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