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.File in questo prodotto:
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