16 citations · 61 across the 20 of their papers we have counts for
25 papers
Local Tate duality for syntomic cohomology in positive characteristic
Christopher Lazda
Let be a local field of characteristic . We show that syntomic cohomology over , with coefficients, and defined using Dodd's theory of -gauges, satisfies local Tate…
Dichotomy for the Brauer-Manin obstruction in characteristic p
Christopher D. Lazda, Alexei N. Skorobogatov
Let X be a smooth, projective, geometrically integral variety over a global function field k of characteristic p. We show that if the unipotent Brauer group of X is zero, and the P…
Errata Corrige to Theorems A and B for Dagger Quasi-Stein Spaces
Federico Bambozzi, Christopher Lazda
We give a counter-example to Theorem B for dagger quasi-Stein spaces.
Boundedness of the p-primary torsion of the Brauer groups of K3 surfaces
Christopher D. Lazda, Alexei N. Skorobogatov
We prove that the transcendental Brauer group of a K3 surface X over a finitely generated field k is finite, unless k has positive characteristic p and X is supersingular, in which…
Rigidification of arithmetic -modules and an overconvergent Riemann-Hilbert correspondence
Christopher Lazda
In this article, I define triangulated categories of constructible isocrystals on varieties over a perfect field of positive characteristic, in which Le Stum's abelian category of…
A comparison between compactly supported rigid and -module cohomology
Tomoyuki Abe, Christopher Lazda
The goal of this article is to prove a comparison theorem between rigid cohomology and cohomology computed using the theory of arithmetic -modules. To do this, we cons…