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Formal Hodge Theory

L. Barbieri-Viale
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Abstract

Formal (mixed) Hodge structures FHS are introduced in such a way that the Hodge realization of Deligne's 1-motives extends to a realization from Laumon's 1-motives to formal Hodge structures of level 1, providing an equivalence of categories. For the sake of exposition we here confine our study to level 1 mixed Hodge structures. However, it is conceivable and suitable to consider formal mixed Hodge structures with arbitrary Hodge numbers: generalizing our definition herebelow it's not that difficult and we will treat such a matter nextly.

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L. Barbieri-Viale. 2005-11-22. Formal Hodge Theory. https://arxiv.org/abs/math/0511560

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