Geodesic
Nori Motives of Curves With Modulus and Laumon 1-motives
Canadian journal of mathematics, Tome 70 (2018) no. 4, pp. 868-897

Voir la notice de l'article provenant de la source Cambridge University Press

Let $k$ 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 $H_{\text{dR}}^{1}$ 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.
DOI : 10.4153/CJM-2017-037-x
Mots-clés : 19E15, 16G20, 14F42, motive, curve with modulus, quiver representation 
Ivorra, Florian; Yamazaki, Takao. Nori Motives of Curves With Modulus and Laumon 1-motives. Canadian journal of mathematics, Tome 70 (2018) no. 4, pp. 868-897. doi: 10.4153/CJM-2017-037-x
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