We prove that the category of Laumon 1-motives up to isogenies over a field of characteristic zero is of cohomological dimension ≤1. As a consequence this implies the same result for the category of formal Hodge structures of level ≤1 (over Q).
Cohomological dimension of Laumon 1-motives up to isogenies
MAZZARI, NICOLA
2010
Abstract
We prove that the category of Laumon 1-motives up to isogenies over a field of characteristic zero is of cohomological dimension ≤1. As a consequence this implies the same result for the category of formal Hodge structures of level ≤1 (over Q).
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myart 2010 Mazzari, cohomological dimension of Laumon 1-motives.pdf
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