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arXiv · 1609.08279

Nori motives of curves with modulus and Laumon 1-motives

Florian Ivorra·Takao Yamazaki
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Abstract

Let $k$ be a number field. We describe the category of Laumon 1-isomotives over $k$ as the universal category in the sense of Nori associated with a quiver representation built out of smooth proper $k$-curves with two disjoint effective divisors and a notion of $H^1_\dR$ for such "curves with modulus". This result extends and relies on the theorem of J. Ayoub and L. Barbieri-Viale that describes Deligne's category of 1-isomotives in terms of Nori's Abelian category of motives.

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Florian Ivorra, Takao Yamazaki. 2017-06-13. Nori motives of curves with modulus and Laumon 1-motives. https://doi.org/10.4153/cjm-2017-037-x

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