activity
20032025
most citedContinuity of the radius of convergence of p-adic differential equations on Berkovich analytic spaces

9 citations · 23 across the 12 of their papers we have counts for

collaborators

13 papers

math.NT2025

Closed exact categories of modules over generalized adic rings. Part 1: The bounded case

Francesco Baldassarri

We develop general foundations of topological algebra over a linearly topologized ring k in a format applicable to both formal schemes and analytic adic spaces. We are especially i…

math.NT2025

Non-archimedean integration on totally disconnected spaces

Francesco Baldassarri

We work in the category of [5] of separated complete bounded -linearly topologized modules over a complete linearly topologized ring and discuss duality…

math.AG2019

Metric uniformization of morphisms of Berkovich curves via -adic differential equations

Francesco Baldassarri, Velibor Bojković

We consider a finite étale morphism of quasi-smooth Berkovich curves over a complete nonarchimedean non-trivially valued field , assumed algebraically closed and of…

math.AG2016

Non-archimedean gauge seminorms

Francesco Baldassarri

This paper is intended to provide foundations to the theory of Witt-type topological group and ring functors defined on a category of topological algebras, and, in presence of Bana…

math.AG2012★ 2 cited

Radius of convergence of p-adic connections and the Berkovich ramification locus

Francesco Baldassarri

We apply the theory of the radius of convergence of a p-adic connection to the special case of the direct image of the constant connection via a finite morphism of compact p-adic c…

math.NT2011

Appendix: proof of the Uniformity Conjecture

Francesco Baldassarri

This paper originated as an appendix to the paper "Topology and Geometry of the Berkovich Ramification Locus for Rational Functions, II" by Xander Faber arXiv:1104.0943v2 [math.NT]…