13 citations · 21 across the 12 of their papers we have counts for
6 papers · 1 filter
The convergence Newton polygon of a -adic differential equation IV : controlling graphs
Jérôme Poineau, Andrea Pulita
In our previous works we proved a finiteness property of the radii of convergence functions associated with a vector bundle with connection on -adic analytic curves. We showed t…
Pushforwards of -adic differential equations
Velibor Bojković, Jérôme Poineau
Given a differential equation on a smooth -adic analytic curve, one may construct a new one by pushing forward by an étale morphism. The main result of the paper provides an exp…
The convergence Newton polygon of a -adic differential equation V : local index theorems
Jérôme Poineau, Andrea Pulita
In this paper and its sequel we consider locally-free -modules together with a connection over a quasi-smooth Berkovich curve . We obtain necessary and sufficient…
The convergence Newton polygon of a -adic differential equation III : global decompositions
Jérôme Poineau, Andrea Pulita
We deal with locally free -modules with connection over a Berkovich curve . As a main result we prove local and global decomposition theorems of such objects by t…
Continuity and finiteness of the radius of convergence of a p-adic differential equation via potential theory
Jérôme Poineau, Andrea Pulita
We study the radius of convergence of a differential equation on a smooth Berkovich curve over a non-archimedean complete valued field of characteristic 0. Several properties of th…
The convergence Newton polygon of a p-adic differential equation II: Continuity and finiteness on Berkovich curves
Jérôme Poineau, Andrea Pulita
We study the variation of the convergence Newton polygon of a differential equation along a smooth Berkovich curve over a non-archimedean complete valued field of characteristic 0.…