de Rham Theory for Tame Stacks and Schemes with Linearly Reductive Singularities

Details de Rham Theory for Tame Stacks and Schemes with Linearly Reductive Singularities de Rham Theory for Tame Stacks and Schemes with Linearly Reductive Singularities

2009-11-11

arxiv.org/abs/0911.2056v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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