MIXED HODGE STRUCTURES WITH MODULUS

Florian Ivorra, Takao Yamazaki

Research output: Contribution to journalArticlepeer-review

Abstract

We define a notion of mixed Hodge structure with modulus that generalizes the classical notion of mixed Hodge structure introduced by Deligne and the level one Hodge structures with additive parts introduced by Kato and Russell in their description of Albanese varieties with modulus. With modulus triples of any dimension, we attach mixed Hodge structures with modulus. We combine this construction with an equivalence between the category of level one mixed Hodge structures with modulus and the category of Laumon 1-motives to generalize Kato-Russell's Albanese varieties with modulus to 1-motives.

Original languageEnglish
Pages (from-to)161-195
Number of pages35
JournalJournal of the Institute of Mathematics of Jussieu
Volume21
Issue number1
DOIs
Publication statusPublished - 2022 Jan 2

Keywords

  • Enriched Hodge structure
  • Formal Hodge structure
  • Laumon 1-motives

ASJC Scopus subject areas

  • Mathematics(all)

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