86 citations · 306 across the 23 of their papers we have counts for
4 papers · 1 filter
Finiteness of cohomology of local systems on rigid analytic spaces
Kiran S. Kedlaya, Ruochuan Liu
We prove that the cohomology groups of an etale Q_p-local system on a smooth proper rigid analytic space are finite-dimensional Q_p-vector spaces, provided that the base field is e…
Relative p-adic Hodge theory, II: Imperfect period rings
Kiran S. Kedlaya, Ruochuan Liu
In a previous paper, we constructed a category of (phi, Gamma)-modules associated to any adic space over Q_p with the property that the etale (phi, Gamma)-modules correspond to eta…
Rigidity and a Riemann-Hilbert correspondence for p-adic local systems
Ruochuan Liu, Xinwen Zhu
We construct a functor from the category of p-adic etale local systems on a smooth rigid analytic variety X over a p-adic field to the category of vector bundles with an integrable…
Artin Conjecture for p-adic Galois Representations of Function Fields
Ruochuan Liu, Daqing Wan
For a global function field K of positive characteristic p, we show that Artin conjecture for L-functions of geometric p-adic Galois representations of K is true in a non-trivial p…