Mathematical Research Letters

Volume 14 (2007)

Number 3

Formal Hodge Theory

Pages: 385 – 394



Luca Barbieri-Viale (Università degli Studi di Padova)


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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