3 citations · 4 across the 4 of their papers we have counts for
5 papers
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…
Reduction type of genus-3 curves in a special stratum of their moduli space
Irene Bouw, Nirvana Coppola, Pınar Kılıçer +3
We study a 3-dimensional stratum of the moduli space of curves of genus parameterizing curves that admit a certain action of $V= C_2\tim…
On the difference between permutation polynomials over finite fields
Nurdagül Anbar, Almasa Oduzak, Vandita Patel +3
The well-known Chowla and Zassenhaus conjecture, proven by Cohen in 1990, states that if , then there is no complete mapping polynomial in $\Fp[x]$ of degree $d…
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{…
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…