1 citations · 1 across the 6 of their papers we have counts for
7 papers
Elliptic curves attached to Jacobians with imaginary multiplication
Francesc Fité, Francesc Pedret
Let M be an imaginary quadratic field and A be an abelian variety of odd dimension g defined over Q for which there is a unitary algebra embedding of M in End^0(A_M) of signature (…
Abelian threefolds with imaginary multiplication
Francesc Fité, Pip Goodman
Let be an abelian threefold defined over a number field with potential multiplication by an imaginary quadratic field . Under mild assumptions on , if has signatu…
Geometrically simple counterexamples to a local-global principle for quadratic twists
Emiliano Ambrosi, Nirvana Coppola, Francesc Fité
Two abelian varieties and over a number field are said to be strongly locally quadratic twists if they are quadratic twists at every completion of . While it was kno…
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…
Frobenius sign separation for abelian varieties
Alina Bucur, Francesc Fité, Kiran S. Kedlaya
Let A and A' be nonzero abelian varieties defined over a number field k such that Hom(A,A')=0. Under the Generalized Riemann hypothesis for motivic L-functions attached to A and A'…
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…
A local-global principle for polyquadratic twists of abelian surfaces
Francesc Fité, Antonella Perucca
We say that two abelian varieties and defined over a field are polyquadratic twists if they are isogenous over a Galois extension of whose Galois group has exponen…