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Cohomologial dimension of Laumon 1-motives up to isogenies

Nicola Mazzari — 2010

Journal de Théorie des Nombres de Bordeaux

We prove that the category of Laumon 1-motives up to isogenies over a field of characteristic zero is of cohomological dimension $\leq 1$ . As a consequence this implies the same result for the category of formal Hodge structures of level $\leq 1$ (over $ℚ$ ).

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