F. Vázquez

collaborators

4 papers

math.NT2026

Hochschild (Co)homology of D-modules on rigid analytic spaces I

Fernando PeÃ±a VÃ¡zquez

We introduce a formalism of Hochschild (co)-homology for $D$ -cap modules on smooth rigid analytic spaces based on the homological tools of Ind-Banach $D$ -cap mo…

math.NT2026

Category O for p-adic rational Cherednik algebras

Fernando PeÃ±a VÃ¡zquez

We introduce the concept of a triangular decomposition for Banach and FrÃ©chet-Stein algebras over $p$ -adic fields, which allows us to define a category $O$ for a wide ar…

math.NT2026

p-adic Cherednik algebras on rigid analytic spaces

Fernando PeÃ±a VÃ¡zquez

Let $X$ be a smooth rigid space with an action of a finite group $G$ satisfying that $X / G$ is represented by a rigid space. We construct sheaves of $p$ -adic Cherednik algebras on t…

math.NT2025

Hochschild (Co)homology of D-modules on rigid analytic spaces II

Fernando PeÃ±a VÃ¡zquez

Let $X$ be a smooth $p$ -adic Stein space with free tangent sheaf. We use the notion of Hochschild cohomology for sheaves of Ind-Banach algebras developed in our previous work to st…