We introduce {\em formal}\, (mixed) Hodge structures (of level $\leq 1$) 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 $\leq 1$) providing an equivalence of categories.
Formal Hodge Theory / L. Barbieri Viale. - In: MATHEMATICAL RESEARCH LETTERS. - ISSN 1073-2780. - 14:3(2007), pp. 385-394.
Formal Hodge Theory
L. Barbieri VialePrimo
2007
Abstract
We introduce {\em formal}\, (mixed) Hodge structures (of level $\leq 1$) 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 $\leq 1$) providing an equivalence of categories.
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