Mathematics – Algebraic Geometry
Scientific paper
2005-11-22
Mathematical Research Letters (International Press) Vol. 14 Issue 3 (2007) 385-394.
Mathematics
Algebraic Geometry
12 pages
Scientific paper
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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