From the 1 of 4 linked papers with an AI index.
4 papers
Lattices in rigid analytic representations
Andrea Conti, Emiliano Torti
The paper investigates when a p‑adic representation of a profinite group on a rigid analytic space admits a lattice, proving existence under mild regularity assumptions and applyin…
On the torsion in the cohomology of the integral structure sheaf of affinoid adic spaces
Emiliano Torti
We prove that the cohomology of the integral structure sheaf of a normal affinoid adic space over a non-archimedean field of characteristic zero is uniformly torsion. This result o…
Lagrange's theorem for a family of finite flat group schemes over local Artin rings
Emiliano Torti
Let R be a local Artin ring with residue field k of positive characteristic. We prove that every finite flat group scheme over R whose special fiber belongs to a certain explicit f…
On the existence of analytic families of G-stable lattices and their reductions
Emiliano Torti
In this article, we prove the existence of rigid analytic families of -stable lattices with locally constant reductions inside families of representations of a topologically com…