Connectedness of the moduli space of Artin-Schreier curves of fixed genus

@article{Dang2020ConnectednessOT,
  title={Connectedness of the moduli space of Artin-Schreier curves of fixed genus},
  author={Huy Dang},
  journal={Journal of Algebra},
  year={2020},
  volume={547},
  pages={398-429}
}
  • Huy Dang
  • Published 2020
  • Mathematics
  • Journal of Algebra
Abstract We study the moduli space AS g of Artin-Schreier curves of genus g over an algebraically closed field k of positive characteristic p. The moduli space is partitioned into strata, which are irreducible. Each stratum parameterizes Artin-Schreier curves whose ramification divisors have the same coefficients. We construct deformations of these curves to study the relations between those strata. As an application, when p = 3 , we prove that AS g is connected for all g. When p > 3 , it turns… Expand
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