Regularity of the superstring supermeasure and the superperiod map

@article{Felder2021RegularityOT,
  title={Regularity of the superstring supermeasure and the superperiod map},
  author={Giovanni Felder and David Kazhdan and Alexander Polishchuk},
  journal={Selecta Mathematica},
  year={2021}
}
The supermeasure whose integral is the genus $g$ vacuum amplitude of superstring theory is potentially singular on the locus in the moduli space of supercurves where the corresponding even theta-characteristic has nontrivial sections. We show that the supermeasure is actually regular for $g\leq 11$. The result relies on the study of the superperiod map. We also show that the minimal power of the classical Schottky ideal that annihilates the image of the superperiod map is equal to $g$ if $g$ is… 
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