Moduli and periods of supersymmetric curves

@article{Codogni2019ModuliAP,
  title={Moduli and periods of supersymmetric curves},
  author={Giulio Codogni and Filippo Viviani},
  journal={Advances in Theoretical and Mathematical Physics},
  year={2019}
}
Supersymmetric curves are the analogue of Riemann surfaces in super geometry. We establish some foundational results about complex Deligne-Mumford superstacks, and we then prove that the moduli superstack of supersymmetric curves is a smooth complex Deligne-Mumford superstack. We then show that the superstack of supersymmetric curves admits a coarse complex superspace, which, in this case, is just an ordinary complex space. In the second part of this paper we discuss the period map. We remark… 
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