1 citations · 1 across the 5 of their papers we have counts for
7 papers
A computational approach to Drinfeld modules
Cécile Armana, Elena Berardini, Xavier Caruso +3
This survey provides a practical and algorithmic perspective on Drinfeld modules over . Starting with the construction of the Carlitz module, we present Drinfeld mo…
Ogg's conjectures over function fields
Cécile Armana, Sheng-Yang Kevin Ho, Mihran Papikian
In the early 1970s, Andrew Ogg made several conjectures about the rational torsion points of elliptic curves over and the Jacobians of modular curves. These conjecture…
Non-perfect pairings between Hecke algebra and modular forms over function fields
Cécile Armana
We study two analogs, for modular forms over , of the pairing between Hecke algebra and cusp forms given by the first coefficient in the expansion. For Drinfeld…
Drinfeld singular moduli, hyperbolas, units
Bruno Anglès, Cécile Armana, Vincent Bosser +1
Let be a prime power and consider Drinfeld modules of rank 2 over . We prove that there are no points with coordinates being Drinfeld singular moduli, on…
Sturm-type bounds for modular forms over functions fields
Cécile Armana, Fu-Tsun Wei
In this paper, we obtain two analogues of the Sturm bound for modular forms in the function field setting. In the case of mixed characteristic, we prove that any harmonic cochain i…
Large Galois images for Jacobian varieties of genus 3 curves
Sara Arias-de-Reyna, Cécile Armana, Valentijn Karemaker +3
Given a prime number l greater than or equal to 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois re…
Galois representations and Galois groups over Q
Sara Arias-de-Reyna, Cécile Armana, Valentijn Karemaker +3
In this paper we generalize results of P. Le Duff to genus n hyperelliptic curves. More precisely, let C/Q be a hyperelliptic genus n curve and let J(C) be the associated Jacobian…