2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130478Comparing vanishing of local cohomology in zero and positive characteristic, we give an example of a D-module on a Grassmann variety in positive characteristic with non-vanishing first cohomology group. This is a counterexample to D-affinity and the Beilinson-Bernstein equivalence for flag manifolds in positive characteristic.Algebraic GeometryCommutative AlgebraRepresentation Theory32C38 (Primary) 14B15 (Secondary)text