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

Published 22 May 2024 in math.AG | (2405.14042v1)

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 $\ell-$adic cohomology of the moduli stack in terms of Chern classes.

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