# Hodge cohomology of Nori étale finite bundles

Doàn Trung Cuong

Number | 17 |
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Author | Doàn Trung Cuong |

Year | 2009 |

Étale Nori finite vector bundles are those bundles defined by representations of a finite étale 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 the result of Pink-Roessler [13, Proposition 3.5].