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Pré-Publication, Document De Travail Année : 2020

Analytification of mapping stacks

Julian Holstein
  • Fonction : Auteur
Mauro Porta

Résumé

Derived mapping stacks are a fundamental source of examples of derived enhancements of classical moduli problems. For instance, they appear naturally in Gromov-Witten theory and in some branches of geometric representation theory. In this paper, we show that in many cases the mapping stacks construction commutes with the (complex or non-archimedean) analytification functor. Along the way, we establish several properties of the stack of analytic perfect complexes and study some incarnations of analytic Tannaka duality.

Dates et versions

hal-02443464 , version 1 (17-01-2020)

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Julian Holstein, Mauro Porta. Analytification of mapping stacks. 2020. ⟨hal-02443464⟩
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