English

Tau Function and Moduli of Meromorphic Quadratic Differentials

Algebraic Geometry 2022-01-11 v3

Abstract

The Bergman tau functions are applied to the study of the Picard group of moduli spaces of quadratic differentials with at most nn simple poles on genus gg complex algebraic curves. This generalizes our previous results on moduli spaces of holomorphic quadratic differentials.

Keywords

Cite

@article{arxiv.2108.01419,
  title  = {Tau Function and Moduli of Meromorphic Quadratic Differentials},
  author = {Dmitry Korotkin and Peter Zograf},
  journal= {arXiv preprint arXiv:2108.01419},
  year   = {2022}
}

Comments

To Leon Takhtajan on occasion of his 70th birthday. The paper is a continuation and generalization of arXiv:1302.0577

R2 v1 2026-06-24T04:47:14.601Z