18 citations · 60 across the 23 of their papers we have counts for
28 papers
Evaluation of Bianchi Rigid Meromorphic Cocycles at Big ATR Points
Lennart Gehrmann, Xavier Guitart, Marc Masdeu
We develop the tools required to effectively evaluate the Bianchi rigid meromorphic cocycles introduced by Darmon-Gehrmann-Lipnowski at big ATR points, and use them to obtain the f…
Periods of modular forms and applications to the conjectures of Oda and of Prasanna-Venkatesh
Xavier Guitart, Santiago Molina
We establish several formulas relating periods of modular forms on quaternion algebras over number fields to special values of L-functions. Our main inputs are the cohomological te…
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…
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…
Polarized products of elliptic curves with complex multiplication and field of moduli
Fabien Narbonne
Let be the maximal order in a quadratic imaginary field . We give an equivalence of categories between the category of polarized abelian varieties isomorphic to a product of…
Plectic p-adic invariants
Michele Fornea, Xavier Guitart, Marc Masdeu
For modular elliptic curves over number fields of narrow class number one, and with multiplicative reduction at a collection of p-adic primes, we define new p-adic invariants. Insp…