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

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

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Castorena et al. (Wed,) studied this question.

synapsesocial.com/papers/68e68fc0b6db643587617622 https://doi.org/https://doi.org/10.48550/arxiv.2405.14042

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