Moduli Stacks of Vector Bundles and Frobenius Morphisms

Frank Neumann, Ulrich Stuhler

Published 2004-04-23Version 1

We describe the action of the different Frobenius morphisms on the cohomology ring of the moduli stack of algebraic vector bundles of fixed rank and determinant on an algebraic curve over a finite field in characteristic p and analyse special situations like vector bundles on the projective line and relations with infinite Grassmannians.