3 citations · 13 across the 11 of their papers we have counts for
4 papers · 1 filter
Zeta function and cryptographic exponent of supersingular curves of genus 2
Gabriel Cardona, Enric Nart
We compute in a direct (not algorithmic) way the zeta function of all supersingular curves of genus 2 over a finite field k, with many geometric automorphisms. We display these com…
Curves of genus two over fields of even characteristic
Gabriel Cardona, Enric Nart, Jordi Pujolas
In this paper we classify curves of genus two over a perfect field k of characteristic two. We find rational models of curves with a given arithmetic structure for the ramification…
Field of moduli and field of definition for curves of genus 2
Gabriel Cardona, Jordi Quer
Let M_2 be the moduli space that classifies genus 2 curves. If a curve C is defined over a field k, the corresponding moduli point P=[C] is defined over k. Mestre solved the conver…
Curves of genus 2 with group of automorphisms isomorphic to D_8 or D_12
Gabriel Cardona, Jordi Quer
In this paper we classify curves of genus 2 with group of automorphisms isomorphic to D_8 or D_12 over an arbitrary field k (of characteristic different from 2 in the D_8 case and…