Cohomological dimension of Laumon 1-motives up to isogenies

Details Cohomological dimension of Laumon 1-motives up to isogenies Cohomological dimension of Laumon 1-motives up to isogenies

2008-09-29

arxiv.org/abs/0809.4926v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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

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