Felipe Rivera-Mesas

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20202025

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math.NT2025

Lichtenbaum-van Hamel duality for singular varieties over $p$ -adic fields

Felipe Rivera-Mesas

In this article, we extend the van Hamel-Lichtenbaum duality theorem to (not necessarily smooth) proper and geometrically integral varieties defined over a $p$ -adic field $k$ . More…

math.NT2021

Hasse norm principle for Galois dihedral extensions

Felipe Rivera-Mesas

Let $L / k$ an Galois extension of number fields with Galois group isomorphic to a dihedral group of order $2 n$ . In this note, we give a general description of the Hasse norm princip…

math.NT2020

Bad places for the approximation property for finite groups

Felipe Rivera-Mesas

Given a number field $k$ and a finite $k$ -group $G$ , the Tame Approximation Problem for $G$ asks whether the restriction map $H^{1} (k, G) \to \prod_{v \in Σ} H^{1} (k_{v}, G)$ is surjective for…

Lichtenbaum-van Hamel duality for singular varieties over p-adic fields

Hasse norm principle for Galois dihedral extensions

Bad places for the approximation property for finite groups

Lichtenbaum-van Hamel duality for singular varieties over $p$ -adic fields