On the Picard Group of the Moduli Space of Curves via -Spin Structures
In this paper, we obtain explicit expressions for Pandharipande-Pixton-Zvonkine relations in the second rational cohomology of ℳ¯,ₙ, and, comparing the result with Arbarello-Cornalba's theorem, we prove Pixton's conjecture in this case.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2024 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2024
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212607 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the Picard Group of the Moduli Space of Curves via -Spin Structures. Danil Gubarevich. SIGMA 20 (2024), 088, 16 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862625697147650048 |
|---|---|
| author | Gubarevich, Danil |
| author_facet | Gubarevich, Danil |
| citation_txt | On the Picard Group of the Moduli Space of Curves via -Spin Structures. Danil Gubarevich. SIGMA 20 (2024), 088, 16 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper, we obtain explicit expressions for Pandharipande-Pixton-Zvonkine relations in the second rational cohomology of ℳ¯,ₙ, and, comparing the result with Arbarello-Cornalba's theorem, we prove Pixton's conjecture in this case.
|
| first_indexed | 2026-03-21T12:57:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212607 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T12:57:53Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gubarevich, Danil 2026-02-09T08:05:32Z 2024 On the Picard Group of the Moduli Space of Curves via -Spin Structures. Danil Gubarevich. SIGMA 20 (2024), 088, 16 pages 1815-0659 2020 Mathematics Subject Classification: 14H10; 14N35 arXiv:2112.10182 https://nasplib.isofts.kiev.ua/handle/123456789/212607 https://doi.org/10.3842/SIGMA.2024.088 In this paper, we obtain explicit expressions for Pandharipande-Pixton-Zvonkine relations in the second rational cohomology of ℳ¯,ₙ, and, comparing the result with Arbarello-Cornalba's theorem, we prove Pixton's conjecture in this case. The author is very thankful to P. Dunin-Barkowski for numerous discussions and competent advice throughout the project. I am also grateful to D. Zvonkine for teaching me a trick used in the genus 2 case, which led to a significant simplification, and for helpful remarks. I thank anonymous referees for numerous tips. The author is partially supported by the International Laboratory of Cluster Geometry NRU HSE, RF Government grant, etc., no. 075-15-2021-608 dated 08.06.2021. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Picard Group of the Moduli Space of Curves via -Spin Structures Article published earlier |
| spellingShingle | On the Picard Group of the Moduli Space of Curves via -Spin Structures Gubarevich, Danil |
| title | On the Picard Group of the Moduli Space of Curves via -Spin Structures |
| title_full | On the Picard Group of the Moduli Space of Curves via -Spin Structures |
| title_fullStr | On the Picard Group of the Moduli Space of Curves via -Spin Structures |
| title_full_unstemmed | On the Picard Group of the Moduli Space of Curves via -Spin Structures |
| title_short | On the Picard Group of the Moduli Space of Curves via -Spin Structures |
| title_sort | on the picard group of the moduli space of curves via -spin structures |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212607 |
| work_keys_str_mv | AT gubarevichdanil onthepicardgroupofthemodulispaceofcurvesviaspinstructures |