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Cohomological dimension of Laumon 1-motives up to isogenies

Abstract

We prove that the category of Laumon 1-motives up isogenies over a field of characteristic zero is of cohomological dimension ≤1\le 1. As a consequence this implies the same result for the category of formal Hodge structures of level ≤1\le 1 (over Q\mathbb{Q}).Comment: 11 page

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