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Article Dans Une Revue Journal of the Institute of Mathematics of Jussieu Année : 2022

Mixed Hodge structures with modulus

Takao Yamazaki
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Résumé

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.

Dates et versions

hal-01688201 , version 1 (19-01-2018)

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Citer

Florian Ivorra, Takao Yamazaki. Mixed Hodge structures with modulus. Journal of the Institute of Mathematics of Jussieu, 2022, 21 (1), pp.161-195. ⟨10.1017/S1474748020000043⟩. ⟨hal-01688201⟩
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