Nori motives of curves with modulus and Laumon 1-motives

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.

30 pages. The main result is now valid over any number field

References in corpus (1)

• Sharp de Rham realization

Cited by in corpus (2)

• Motives with modulus, III: The categories of motives
• Mixed Hodge structures with modulus