Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2310.04973 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916646555222016 |
|---|---|
| author | Foster, Alexander O. Shou, Yiyan |
| author_facet | Foster, Alexander O. Shou, Yiyan |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04973 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tangent Weights and Invariant Curves in Type A Bow Varieties Foster, Alexander O. Shou, Yiyan Algebraic Geometry 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). |
| title | Tangent Weights and Invariant Curves in Type A Bow Varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2310.04973 |