On \mathsf {G} -isoshtukas over function fields

• Paul Hamacher ^[1] ; Wansu Kim ^[2]
  1. [1] Technical University Munich

     Technical University Munich

     Kreisfreie Stadt München, Alemania

     
  2. [2] Department of Mathematical Sciences, KAIST, Corea del Sur
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 4, 2021
• Idioma: inglés
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• Resumen

  • In this paper we classify isogeny classes of global G-shtukas over a smooth projective curve C/Fq (or equivalently σ-conjugacy classes in G(F⊗FqFq¯¯¯¯¯) where F is the field of rational functions of C) by two invariants κ¯,ν¯ extending previous works of Kottwitz. This result can be applied to study points of moduli spaces of G-shtukas and thus is helpful to calculate their cohomology.