de Rham Theory for Tame Stacks and Schemes with Linearly Reductive Singularities
Algebraic Geometry
2012-06-25 v2
Abstract
We prove that the Hodge-de Rham spectral sequence for smooth proper tame Artin stacks in characteristic p (as defined by Abramovich, Olsson, and Vistoli) which lift mod p^2 degenerates. We push the result to the coarse spaces of such stacks, thereby obtaining a degeneracy result for schemes which are etale locally the quotient of a smooth scheme by a finite linearly reductive group scheme.
Keywords
Cite
@article{arxiv.0911.2056,
title = {de Rham Theory for Tame Stacks and Schemes with Linearly Reductive Singularities},
author = {Matthew Satriano},
journal= {arXiv preprint arXiv:0911.2056},
year = {2012}
}
Comments
Final version, to appear in Annales de l'Institut Fourier