Curves of genus 2 with group of automorphisms isomorphic to $D_8$ or $D_{12}$

@article{Cardona2002CurvesOG,
  title={Curves of genus 2 with group of automorphisms isomorphic to \$D\_8\$ or \$D\_\{12\}\$},
  author={Gabriel Cardona and Jordi Quer},
  journal={Transactions of the American Mathematical Society},
  year={2002},
  volume={359},
  pages={2831-2849}
}
The classification of curves of genus 2 over an algebraically closed field was studied by Clebsch and Bolza using invariants of binary sextic forms, and completed by Igusa with the computation of the corresponding three-dimensional moduli variety M 2 . The locus of curves with group of automorphisms isomorphic to one of the dihedral groups D 8 or D 12 is a one-dimensional subvariety. In this paper we classify these curves over an arbitrary perfect field k of characteristic chark ≠ 2 in the Ds… 

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