We develop a somewhat elementary theory of quasicoherent sheaves on separated dagger
analytic varieties and show that they satisfy descent in the analytic topology. We define …

This article aims to formulate the main technical input for the construction of a solution
functor in a still hypothetical $ p $-adic analytic Riemann-Hilbert correspondence. Our …

Let $\mathfrak {X} $ be a formal smooth quasi-compact scheme over a complete discrete
valuation ring $\mathcal {V} $ of mixed characteristic $(0, p) $. We consider the sheaves of …

We investigate when a meromorphic connection on a smooth rigid analytic variety 𝑋 gives
rise to a coadmissible D⏜ X-module, and show that this is always the case when the roots of …

arXiv:2405.03028v1 [math.AG] 5 May 2024 Page 1 HOLONOMIC D-MODULES ON RIGID
ANALYTIC VARIETIES FELIKS RĄCZKA Abstract. We study the category of holonomic DX -modules …

Résumé Let $\mathfrak {X} $ be a formal smooth quasi-compact scheme over a complete
discrete valuation ring $\mathcal {V} $ of mixed characteristic $(0, p) $. We consider the …

Le but de cette th\ese consiste\a introduire une vari\'et\'e caract\'eristique pour les $\mathcal
{D} _ {\mathfrak {X},\infty} $-modules coadmissibles dans le cadre arithm\'etique …

Arithmetic differential operators with congruence level structures: First results and examples -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

Let $\mathfrak {X} $ be a formal smooth curve locally of finite type over a complete discrete
valuation ring $\mathcal {V} $ of mixed characteristic $(0, p) $. Let $\widehat {\mathcal …

Résumé Let $\mathfrak {X} $ be a formal smooth quasi-compact curve over a complete
discrete valuation ring $\mathcal {V} $ of mixed characteristic $(0, p) $. We consider the …