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math.NT2026
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…
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…