Amit Ophir

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math.NT2024

Projective smooth representations in natural characteristic

Amit Ophir, Claus Sorensen

We investigate under which circumstances there exists nonzero {\it{projective}} smooth $\field[G]$-modules, where $\field$ is a field of characteristic $p$ and $G$ is a locally pro…

math.NT2024

On the relation between pseudocharacters and Chenevier's determinants

Amit Ophir

Consider a commutative unital ring $A$ and a unital $A$ -algebra $R$ . Let $d$ be a positive integer. Chenevier proved that when $(2 d)!$ is invertible in $A$ , the map associating to…

math.NT2024

Maximal stable lattices in representations over discretely valued fields

Amit Ophir, Ariel Weiss

Let $ρ : G \to GL_{n} (K)$ be an continuous irreducible representation of a compact group over a complete discretely valued field $K$ . Let $W_{i}, W_{j}$ be two irreducible sub…