# 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…

## 14 Citations

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