Nori Motives of Curves With Modulus and Laumon 1-motives
2018 ◽
Vol 70
(4)
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pp. 868-897
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Keyword(s):
AbstractLet k be a number field. We describe the category of Laumon 1-isomotives over k as the universal category in the sense of M. Nori associated with a quiver representation built out of smooth proper k-curves with two disjoint effective divisors and a notion of for such “curves with modulus”. This result extends and relies on a 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.