Gieseker conjecture for homogeneous spaces

Abstract

We prove Gieseker conjecture for an homogeneous space $X$, saying that if $X$ has no non-trivial tame coverings then it has no non-trivial regular singular ${\mathcal{O}}_X$-coherent ${\mathcal{D}}_{X/k}$-modules. In order to do so we prove a Künneth formula for the regular singular stratified fundamental group and a base change for Gauss-Manin stratifications in the non-proper case.

19 pages, comments are welcome

Cited by in corpus (1)

• A crystalline incarnation of Berthelot's conjecture and Künneth formula for isocrystals