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arXiv · 2405.14042

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

Abel Castorena·Frank Neumann
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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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Abel Castorena, Frank Neumann. 2024-05-22. On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic curves. https://arxiv.org/abs/2405.14042

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