3 papers
math.AG2026
Dichotomy for the p-primary 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
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.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.