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 $\le 1$. As a consequence this implies the same result for the category of formal Hodge structures of level $\le 1$ (over $\mathbb{Q}$).

11 pages

References in corpus (2)

• Sharp de Rham realization
• On the derived category of 1-motives

Cited by in corpus (2)

• Extensions of Formal Hodge Structures
• The Fontaine-Ogus realisation of Laumon 1-motives