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20132026
most citedIncarnations of Berthelot's conjecture

16 citations · 61 across the 20 of their papers we have counts for

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math.AG2026

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…

math.AG2025

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.

math.AG2024

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…

math.AG2023

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…

math.AG2022

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…

math.AG2020

Proper pushforwards on analytic adic spaces

Tomoyuki Abe, Christopher Lazda

We construct proper pushforwards for partially proper morphisms of analytic adic spaces. This generalises the theory due to van der Put in the case of rigid analytic varieties over…