Hodge cohomology of étale Nori finite vector bundles

Details Hodge cohomology of étale Nori finite vector bundles Hodge cohomology of étale Nori finite vector bundles

2009-03-20

arxiv.org/abs/0903.3469v1

Mathematics

Algebraic Geometry

Scientific paper

\'Etale Nori finite vector bundles are those bundles defined by representations of a finite \'etale group scheme in the usual way. In this note we show that in many cases the dimensions of the Hodge cohomology groups of such a vector bundle and of a twist of it by an automorphism of the ground field are the same. This generalizes to the higher rank case a result of Pink-Roessler.

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