Marco Artusa

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math.NT2025

Duality for the condensed Weil-étale realisation of $1$ -motives over $p$ -adic fields

Marco Artusa

We extend Tate duality for Galois cohomology of abelian varieties to $1$ -motives over a $p$ -adic field, improving a result of Harari and Szamuely. To do this, we replace Galois coh…

math.NT2024

Duality for condensed cohomology of the Weil group of a p-adic field

Marco Artusa

We use the theory of Condensed Mathematics to build a condensed cohomology theory for the Weil group of a $p$ -adic field. The cohomology groups are proved to be locally compact abe…

Duality for the condensed Weil-étale realisation of 1-motives over p-adic fields

Duality for condensed cohomology of the Weil group of a p-adic field

Duality for the condensed Weil-étale realisation of $1$ -motives over $p$ -adic fields