From the 1 of 4 linked papers with an AI index.
4 papers
Abelian threefolds with imaginary multiplication
Francesc Fité, Pip Goodman
The paper investigates abelian threefolds over number fields that admit multiplication by an imaginary quadratic field, constructs a related elliptic curve with potential complex m…
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'…