Mirrors to Del Pezzo Surfaces and the Classification of -Polygons
We give a new geometric proof of the classification of -polygons, a theorem originally due to Kasprzyk, Nill, and Prince, using ideas from mirror symmetry. In particular, this gives a completely geometric proof that any two toric ℚ-Gorenstein degenerations of a smooth del Pezzo surface are connecte...
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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/123456789/212650 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Mirrors to Del Pezzo Surfaces and the Classification of -Polygons. Wendelin Lutz. SIGMA 20 (2024), 095, 20 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862590983346061312 |
|---|---|
| author | Lutz, Wendelin |
| author_facet | Lutz, Wendelin |
| citation_txt | Mirrors to Del Pezzo Surfaces and the Classification of -Polygons. Wendelin Lutz. SIGMA 20 (2024), 095, 20 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We give a new geometric proof of the classification of -polygons, a theorem originally due to Kasprzyk, Nill, and Prince, using ideas from mirror symmetry. In particular, this gives a completely geometric proof that any two toric ℚ-Gorenstein degenerations of a smooth del Pezzo surface are connected via trees of rational curves in the moduli space of .
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| first_indexed | 2026-03-21T11:55:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212650 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:55:26Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Lutz, Wendelin 2026-02-09T09:33:12Z 2024 Mirrors to Del Pezzo Surfaces and the Classification of -Polygons. Wendelin Lutz. SIGMA 20 (2024), 095, 20 pages 1815-0659 2020 Mathematics Subject Classification: 14J33; 14E07 arXiv:2112.08246 https://nasplib.isofts.kiev.ua/handle/123456789/212650 https://doi.org/10.3842/SIGMA.2024.095 We give a new geometric proof of the classification of -polygons, a theorem originally due to Kasprzyk, Nill, and Prince, using ideas from mirror symmetry. In particular, this gives a completely geometric proof that any two toric ℚ-Gorenstein degenerations of a smooth del Pezzo surface are connected via trees of rational curves in the moduli space of . I would like to thank Alessio Corti for suggesting the topic of this paper to me and for feedback on an earlier draft. I would also like to thank Tom Coates, Robert Friedman, Paul Hacking, and Alan Thompson for helpful discussions. I am grateful to the referees for their time and their helpful remarks, which have improved my paper. I was supported by the EPSRC Centre for Doctoral Training in Geometry and Number Theory at the Interface, grant number EP/L015234/1. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Mirrors to Del Pezzo Surfaces and the Classification of -Polygons Article published earlier |
| spellingShingle | Mirrors to Del Pezzo Surfaces and the Classification of -Polygons Lutz, Wendelin |
| title | Mirrors to Del Pezzo Surfaces and the Classification of -Polygons |
| title_full | Mirrors to Del Pezzo Surfaces and the Classification of -Polygons |
| title_fullStr | Mirrors to Del Pezzo Surfaces and the Classification of -Polygons |
| title_full_unstemmed | Mirrors to Del Pezzo Surfaces and the Classification of -Polygons |
| title_short | Mirrors to Del Pezzo Surfaces and the Classification of -Polygons |
| title_sort | mirrors to del pezzo surfaces and the classification of -polygons |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212650 |
| work_keys_str_mv | AT lutzwendelin mirrorstodelpezzosurfacesandtheclassificationofpolygons |