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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 001, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.001 (Mi sigma1796) 		 
Tau Function and Moduli of Meromorphic Quadratic Differentials

Dmitry Korotkinab, Peter Zografac

a Euler International Mathematical Institute, Pesochnaja nab. 10, Saint Petersburg, 197022 Russia
b Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve West, Montreal, H3G 1M8 Quebec, Canada
c Chebyshev Laboratory, St. Petersburg State University, 14th Line V.O. 29, Saint Petersburg, 199178 Russia
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DOI: https://doi.org/10.3842/SIGMA.2022.001
URL: https://www.imath.kiev.ua/~sigma/2022/001/
Abstract: 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.
Keywords: quadratic differentials, tau function, moduli spaces.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1620
This work was supported by the Ministry of Science and Higher Education of the Russian Federation, agreement no. 075-15-2019-1620.
Received: August 9, 2021; in final form December 28, 2021; Published online January 3, 2022
Bibliographic databases:
Document Type: Article
MSC: 14H15, 14H70, 14K20, 30F30
Language: English
Citation: Dmitry Korotkin, Peter Zograf, “Tau Function and Moduli of Meromorphic Quadratic Differentials”, SIGMA, 18 (2022), 001, 10 pp.
Citation in format AMSBIB
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