English

The moduli space of stable supercurves and its canonical line bundle

Algebraic Geometry 2023-03-07 v3

Abstract

We prove that the moduli of stable supercurves with punctures is a smooth proper DM stack and study an analog of the Mumford's isomorphism for its canonical line bundle.

Keywords

Cite

@article{arxiv.2006.13271,
  title  = {The moduli space of stable supercurves and its canonical line bundle},
  author = {Giovanni Felder and David Kazhdan and Alexander Polishchuk},
  journal= {arXiv preprint arXiv:2006.13271},
  year   = {2023}
}

Comments

v1: 63 pages; v2: 74 pages, some details added, exposition improved