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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2022

Smoothness of cohomology sheaves of stacks of shtukas

Cong Xue
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  • PersonId : 1192202
  • IdHAL : cong-xue

Résumé

We prove, for all reductive groups, that the cohomology sheaves with compact support of stacks of shtukas are ind-smooth over $(X - N)^I$ and that their geometric generic fibers are equiped with an action of $\text{Weil}(X - N, \overline{\eta})^I$. Our method does not use any compactification of stacks of shtukas.

Dates et versions

hal-03866695 , version 1 (22-11-2022)

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Cong Xue. Smoothness of cohomology sheaves of stacks of shtukas. 2022. ⟨hal-03866695⟩
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