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Tensor structure for Nori motives

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arxiv 1803.00809 v2 pith:UO2A7NDC submitted 2018-03-02 math.AG math.RT

Luca Barbieri-Viale , Annette Huber , Mike Prest This is my paper · ORCID
classification math.AGmath.RT
keywords tensorcategorymotivesnoriproductuniversalabelianadditive
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We construct a tensor product on Freyd's universal abelian category attached to an additive tensor category or a tensor quiver and establish a universal property. This is used to give an alternative construction for the tensor product on Nori motives.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tensor products of finitely presented functors

    math.CT 2019-08 accept novelty 6.0 of 10

    Finitely presented promonoidal structures on an additive category extend uniquely to right exact monoidal structures on the associated Freyd category, equivalently on finitely presented functors.

  2. Motivic sheaves revisited

    math.AG 2019-08 conditional novelty 5.0 of 10

    Arapura gives a simpler construction of motivic sheaves and a simpler proof that the Leray spectral sequence has a motivic lift whose Betti realization is the classical Leray spectral sequence.

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