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

2024/05/22 by Abel Castorena, Frank Neumann, Castorena, Abel +1 · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.2405.14042

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.

Cited by

• Frobenius generation for algebraic stacks
• Explicit computation of the generic degree of the generalized Verschiebung in rank two

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