Type: Article

On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic curves

Castorena, Abel; Neumann, Frank;

Abstract:

We study the various arithmetic and geometric Frobenius morphisms on the moduli stack of principal bundles over a smooth projective algebraic curve and determine explicitly their actions on the l-adic cohomology of the moduli stack in terms of Chern classes.