Tangent Weights and Invariant Curves in Type A Bow Varieties
This paper provides a complete classification of torus-invariant curves in Cherkis bow varieties of type A. We develop combinatorial codes for compact and noncompact invariant curves involving the butterfly diagrams, Young diagrams, and binary contingency tables. As a key intermediate step, we also...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2025 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212875 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Tangent Weights and Invariant Curves in Type A Bow Varieties. Alexander Foster and Yiyan Shou. SIGMA 21 (2025), 016, 33 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862750595365994496 |
|---|---|
| author | Foster, Alexander Shou, Yiyan |
| author_facet | Foster, Alexander Shou, Yiyan |
| citation_txt | Tangent Weights and Invariant Curves in Type A Bow Varieties. Alexander Foster and Yiyan Shou. SIGMA 21 (2025), 016, 33 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This paper provides a complete classification of torus-invariant curves in Cherkis bow varieties of type A. We develop combinatorial codes for compact and noncompact invariant curves involving the butterfly diagrams, Young diagrams, and binary contingency tables. As a key intermediate step, we also develop a novel tangent weight formula. Finally, we apply this new machinery to example bow varieties to demonstrate how to obtain their 1-skeletons (union of fixed points and invariant curves).
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| first_indexed | 2026-03-21T18:31:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212875 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T18:31:00Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Foster, Alexander Shou, Yiyan 2026-02-13T13:49:22Z 2025 Tangent Weights and Invariant Curves in Type A Bow Varieties. Alexander Foster and Yiyan Shou. SIGMA 21 (2025), 016, 33 pages 1815-0659 2020 Mathematics Subject Classification: 14H10; 05E14 arXiv:2310.04973 https://nasplib.isofts.kiev.ua/handle/123456789/212875 https://doi.org/10.3842/SIGMA.2025.016 This paper provides a complete classification of torus-invariant curves in Cherkis bow varieties of type A. We develop combinatorial codes for compact and noncompact invariant curves involving the butterfly diagrams, Young diagrams, and binary contingency tables. As a key intermediate step, we also develop a novel tangent weight formula. Finally, we apply this new machinery to example bow varieties to demonstrate how to obtain their 1-skeletons (union of fixed points and invariant curves). We would like to thank R. Rimányi for helpful discussions on the topic. We would also like to thank the referees, whose comments have resulted in numerous corrections and improvements. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Tangent Weights and Invariant Curves in Type A Bow Varieties Article published earlier |
| spellingShingle | Tangent Weights and Invariant Curves in Type A Bow Varieties Foster, Alexander Shou, Yiyan |
| title | Tangent Weights and Invariant Curves in Type A Bow Varieties |
| title_full | Tangent Weights and Invariant Curves in Type A Bow Varieties |
| title_fullStr | Tangent Weights and Invariant Curves in Type A Bow Varieties |
| title_full_unstemmed | Tangent Weights and Invariant Curves in Type A Bow Varieties |
| title_short | Tangent Weights and Invariant Curves in Type A Bow Varieties |
| title_sort | tangent weights and invariant curves in type a bow varieties |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212875 |
| work_keys_str_mv | AT fosteralexander tangentweightsandinvariantcurvesintypeabowvarieties AT shouyiyan tangentweightsandinvariantcurvesintypeabowvarieties |