2 papers
math.AG2025
An axiomatic approach to analytic -affineness
Matteo Montagnani, Emanuele Pavia
The notion of -affineness was originally formulated by Gaitsgory in the context of derived algebraic geometry. Motivated by applications to rigid and analytic geometry, we intro…
math.AG2025
Algebraization of rigid analytic varieties and formal schemes via perfect complexes
Matteo Montagnani
In this paper, we extend a theorem of Toën and Vaquié to the non-Archimedean and formal settings. More precisely, we prove that a smooth and proper rigid analytic variety is algebr…