Tau Function and Moduli of Meromorphic Quadratic Differentials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Korotkin, Dmitry, Zograf, Peter
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211544
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Tau Function and Moduli of Meromorphic Quadratic Differentials. Dmitry Korotkin and Peter Zograf. SIGMA 18 (2022), 001, 10 pages

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