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math.NT2002★ 3 cited
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…
math.NT2002
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…