Nori Motives of Curves With Modulus and Laumon 1-motives
Canadian journal of mathematics, Tome 70 (2018) no. 4, pp. 868-897
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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.
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
@article{10_4153_CJM_2017_037_x,
author = {Ivorra, Florian and Yamazaki, Takao},
title = {Nori {Motives} of {Curves} {With} {Modulus} and {Laumon} 1-motives},
journal = {Canadian journal of mathematics},
pages = {868--897},
year = {2018},
volume = {70},
number = {4},
doi = {10.4153/CJM-2017-037-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-037-x/}
}
TY - JOUR AU - Ivorra, Florian AU - Yamazaki, Takao TI - Nori Motives of Curves With Modulus and Laumon 1-motives JO - Canadian journal of mathematics PY - 2018 SP - 868 EP - 897 VL - 70 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-037-x/ DO - 10.4153/CJM-2017-037-x ID - 10_4153_CJM_2017_037_x ER -
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