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On Non-Normal Subvarieties of the Moduli Space of Riemann Surfaces

  • Rubén A. Hidalgo,
  • Jennifer Paulhus,
  • Sebastián Reyes-Carocca,
  • Anita M. Rojas

摘要

In this article, we consider certain irreducible subvarieties of the moduli space of compact Riemann surfaces determined by the specification of actions of finite groups. We address the general problem of determining which among them are non-normal subvarieties of the moduli space. We obtain several new examples of subvarieties with this property.