3 citations · 4 across the 4 of their papers we have counts for
Showing math.NTShow all
3 papers · 1 filter
math.NT2023
On the conductor of Ciani plane quartics
Irene Bouw, Nirvana Coppola, Elisa Lorenzo García +1
In this paper we determine the conductor exponent of non-special Ciani quartics at primes of potentially good reduction in terms of the Ciani invariants. As an intermediate step in…
math.NT2016
An inverse Jacobian algorithm for Picard curves
Joan-C. Lario, Anna Somoza, Christelle Vincent
We study the inverse Jacobian problem for the case of Picard curves over . More precisely, we elaborate on an algorithm that, given a small period matrix $Ω\in \mathbb{…
math.NT2014
The Sato-Tate conjecture for a Picard curve with Complex Multiplication
Joan-C. Lario, Anna Somoza
Let C/Q be the genus 3 Picard curve given by the affine model y^3=x^4-x. In this paper we compute its Sato-Tate group, show the generalized Sato-Tate conjecture for C, and compute…