Enric Florit

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20242026

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math.NT2026

Non-split Cartan curves and a characterization of fake elliptic curves

Enric Florit

The $ℓ$ -adic Tate module of an abelian surface with quaternionic multiplication (QM) decomposes as two copies of a two-dimensional $Q$ -rational representation. To this…

math.NT2026

On inertial types of elliptic curves

Jose Castro-Moreno, Enric Florit, Nuno Freitas

We classify the inertial Weil-Deligne types arising from elliptic curves over all finite extensions $F / Q_{p}$ . Based on this classification, we give a fully explicit descript…

math.NT2025

Abelian varieties genuinely of $GL_{n}$ -type

Francesc FitÃ©, Enric Florit, Xavier Guitart

A simple abelian variety $A$ defined over a number field $k$ is called of $GL_{n}$ -type if there exists a number field of degree $2 dim (A) / n$ which is a subalgebra of $\math…

math.NT2024

K-varieties and Galois representations

Enric Florit, Ariel Pacetti

In a remarkable article Ribet showed how to attach rational $2$ -dimensional representations to elliptic $Q$ -curves. An abelian variety $A$ is a (weak) $K$ -variety if it i…

math.NT2024

Abelian varieties that split modulo all but finitely many primes

Enric Florit

Let $A$ be a simple abelian variety over a number field $k$ such that $End (A)$ is noncommutative. We show that $A$ splits modulo all but finitely many primes of $k$ .…

Non-split Cartan curves and a characterization of fake elliptic curves

On inertial types of elliptic curves

Abelian varieties genuinely of GLn​-type

K-varieties and Galois representations

Abelian varieties that split modulo all but finitely many primes

Abelian varieties genuinely of $GL_{n}$ -type