4 citations · 6 across the 8 of their papers we have counts for
8 papers
Non-split Cartan curves and a characterization of fake elliptic curves
Enric Florit
The -adic Tate module of an abelian surface with quaternionic multiplication (QM) decomposes as two copies of a two-dimensional -rational representation. To this…
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 . Based on this classification, we give a fully explicit descript…
K-varieties and Galois representations
Enric Florit, Ariel Pacetti
In a remarkable article Ribet showed how to attach rational -dimensional representations to elliptic -curves. An abelian variety is a (weak) -variety if it i…
Abelian varieties genuinely of -type
Francesc Fité, Enric Florit, Xavier Guitart
A simple abelian variety defined over a number field is called of -type if there exists a number field of degree which is a subalgebra of $\math…
Abelian varieties that split modulo all but finitely many primes
Enric Florit
Let be a simple abelian variety over a number field such that is noncommutative. We show that splits modulo all but finitely many primes of .…
Endomorphism algebras of geometrically split genus 2 Jacobians over Q
Francesc Fité, Enric Florit, Xavier Guitart
The main result of [FG20] classifies the 92 geometric endomorphism algebras of geometrically split abelian surfaces defined over Q. We show that 54 of them arise as geometric endom…
An atlas of the Richelot isogeny graph
Enric Florit, Benjamin Smith
We describe and illustrate the local neighbourhoods of vertices and edges in the (2, 2)-isogeny graph of principally polarized abelian surfaces, considering the action of automorph…
Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph
Enric Florit, Benjamin Smith
We investigate special structures due to automorphisms in isogeny graphs of principally polarized abelian varieties, and abelian surfaces in particular. We give theoretical and exp…