Details

Autor(en) / Beteiligte

• Ivorra, Florian
• Yamazaki, Takao

Titel

MIXED HODGE STRUCTURES WITH MODULUS

Ist Teil von

• Journal of the Institute of Mathematics of Jussieu, 2022-01, Vol.21 (1), p.161-195

Ort / Verlag

Cambridge, UK: Cambridge University Press

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.