Frank Neumann, Ulrich Stuhler
Moduli stacks of vector bundles and Frobenius morphisms
Preprint series: Mathematica Gottingensis

MSC:

14F05 Vector bundles, sheaves, related construction

14F20 Etale and other Grothendieck topologies and cohomologies

Abstract: We describe the action of the different Frobenius morphisms
on the etale cohomology ring of the moduli stack of algebraic
vector bundles of fixed rank and determinant on an algebraic
curve over a finite field.
Keywords: stacks of vector bundles, etale cohomology, Frobenius operations