Francesc Fité

collaborators

3 papers

math.NT2025

Abelian threefolds with imaginary multiplication

Francesc Fité, Pip Goodman

Let $A$ be an abelian threefold defined over a number field $K$ with potential multiplication by an imaginary quadratic field $M$ . Under mild assumptions on $K$ , if $A$ has signatu…

math.NT2025

Geometrically simple counterexamples to a local-global principle for quadratic twists

Emiliano Ambrosi, Nirvana Coppola, Francesc Fité

Two abelian varieties $A$ and $B$ over a number field $K$ are said to be strongly locally quadratic twists if they are quadratic twists at every completion of $K$ . While it was kno…

math.NT2024

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

Francesc Fité, 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…

Abelian threefolds with imaginary multiplication

Geometrically simple counterexamples to a local-global principle for quadratic twists

Abelian varieties genuinely of GLn​-type

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