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Search: MSC category 19E15 ( Algebraic cycles and motivic cohomology [See also 14C25, 14C35, 14F42] )

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Ivorra, Florian; Yamazaki, Takao
Nori motives of curves with modulus and Laumon $1$-motives
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 $H^1_\mathrm{dR}$ 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.

Keywords:motive, curve with modulus, quiver representation
Categories:19E15, 16G20, 14F42

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