Hodge cohomology of Nori étale finite bundles
Doàn Trung Cuong
| Number | 17 |
|---|---|
| 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].
