2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224054Étale 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 a result of Pink-Roessler.Algebraic Geometry14F05, 14J60, 20C99text