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math.NT2026
A fully faithful p-adic Riemann--Hilbert functor for filtered coherent D-modules
Finn Wiersig
We prove that the solution functor from bounded good filtered complexes of coherent D-modules on a smooth rigid-analytic variety to modules over the positive almost de Rham period…
math.NT2026
The p-adic Cauchy Theorem and Overconvergent Period Sheaves
Finn Wiersig
The classical p-adic Cauchy theorem asserts that formal solutions of ordinary p-adic differential equations are convergent. In this article we establish a geometric analogue of thi…
math.NT2023
Galois and Pro-étale Cohomology of Overconvergent de Rham Period Rings
Finn Wiersig
Motivated by the theory of p-adic differential equations and p-adic geometric representation theory, we introduce overconvergent variants of Fontaine's classical period rings. In p…