Nori motives of curves with modulus and laumon 1-motives

Florian Ivorra, Takao Yamazaki

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 M. Nori associated with a quiver representation built out of smooth proper k-curves with two disjoint effective divisors and a notion of H1 dR 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.

Original languageEnglish
Pages (from-to)868-897
Number of pages30
JournalCanadian Journal of Mathematics
Volume70
Issue number4
DOIs
Publication statusPublished - 2018 Aug

Keywords

  • Curve with modulus
  • Motive
  • Quiver representation

ASJC Scopus subject areas

  • Mathematics(all)

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