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

Fuente: arXiv
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Autores principales: Castorena, Abel, Neumann, Frank
Formato: Preprint
Publicado: 2024
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author Castorena, Abel
Neumann, Frank
author_facet Castorena, Abel
Neumann, Frank
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_14042
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic curves
Castorena, Abel
Neumann, Frank
Algebraic Geometry
Primary 14D23, Secondary 14F20, 14G15
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.
title On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic curves
topic Algebraic Geometry
Primary 14D23, Secondary 14F20, 14G15
url https://arxiv.org/abs/2405.14042