2 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
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…
A fully faithful p-adic Riemann-Hilbert functor for coadmissible D-cap-modules
Finn Wiersig
This article establishes a Riemann-Hilbert correspondence in rigid-analytic geometry. We construct an explicit solution functor and prove that it is fully faithful on Ardakov-Wadsl…
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…
No short polynomials vanish on bounded rank matrices
Jan Draisma, Thomas Kahle, Finn Wiersig
We show that the shortest nonzero polynomials vanishing on bounded-rank matrices and skew-symmetric matrices are the determinants and Pfaffians characterising the rank. Algebraical…
Short polynomials in determinantal ideals
Thomas Kahle, Finn Wiersig
We show that a determinantal ideal generated by -minors does not contain any nonzero polynomials with or fewer terms. Geometrically this means that any nonzero polynomial…