Tau Function and Moduli of Meromorphic Quadratic Differentials
The Bergman tau functions are applied to the study of the Picard group of moduli spaces of quadratic differentials with at most simple poles on genus complex algebraic curves. This generalizes our previous results on moduli spaces of holomorphic quadratic differentials.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2022 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211544 |
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| 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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862597310136975360 |
|---|---|
| author | Korotkin, Dmitry Zograf, Peter |
| author_facet | Korotkin, Dmitry Zograf, Peter |
| citation_txt | Tau Function and Moduli of Meromorphic Quadratic Differentials. Dmitry Korotkin and Peter Zograf. SIGMA 18 (2022), 001, 10 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Bergman tau functions are applied to the study of the Picard group of moduli spaces of quadratic differentials with at most simple poles on genus complex algebraic curves. This generalizes our previous results on moduli spaces of holomorphic quadratic differentials.
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| first_indexed | 2026-03-13T23:50:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211544 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T23:50:37Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Korotkin, Dmitry Zograf, Peter 2026-01-05T12:31:09Z 2022 Tau Function and Moduli of Meromorphic Quadratic Differentials. Dmitry Korotkin and Peter Zograf. SIGMA 18 (2022), 001, 10 pages 1815-0659 2020 Mathematics Subject Classification: 14H15; 14H70; 14K20; 30F30 arXiv:2108.01419 https://nasplib.isofts.kiev.ua/handle/123456789/211544 https://doi.org/10.3842/SIGMA.2022.001 The Bergman tau functions are applied to the study of the Picard group of moduli spaces of quadratic differentials with at most simple poles on genus complex algebraic curves. This generalizes our previous results on moduli spaces of holomorphic quadratic differentials. This work was supported by the Ministry of Science and Higher Education of the Russian Federation, agreement no. 075-15-2019-1620. We thank A. Zorich for useful discussions. We are grateful to anonymous referees for carefully reading the manuscript and pointing out several typos and other inconsistencies. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Tau Function and Moduli of Meromorphic Quadratic Differentials Article published earlier |
| spellingShingle | Tau Function and Moduli of Meromorphic Quadratic Differentials Korotkin, Dmitry Zograf, Peter |
| title | Tau Function and Moduli of Meromorphic Quadratic Differentials |
| title_full | Tau Function and Moduli of Meromorphic Quadratic Differentials |
| title_fullStr | Tau Function and Moduli of Meromorphic Quadratic Differentials |
| title_full_unstemmed | Tau Function and Moduli of Meromorphic Quadratic Differentials |
| title_short | Tau Function and Moduli of Meromorphic Quadratic Differentials |
| title_sort | tau function and moduli of meromorphic quadratic differentials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211544 |
| work_keys_str_mv | AT korotkindmitry taufunctionandmoduliofmeromorphicquadraticdifferentials AT zografpeter taufunctionandmoduliofmeromorphicquadraticdifferentials |