Monodromy of Darboux transformations of polarised curves
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908291883335680 |
|---|---|
| author | Cho, Joseph Leschke, Katrin Ogata, Yuta |
| author_facet | Cho, Joseph Leschke, Katrin Ogata, Yuta |
| contents | We show that every finite type polarised curve in the conformal $2$-sphere with a polynomial conserved quantity admits a resonance point, under a non-orthogonality assumption on the conserved quantity. Using this fact, we deduce that every finite type curve polarised by space form arc-length in the conformal $2$-sphere admits a resonance point, possibly on a multiple cover. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23891 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monodromy of Darboux transformations of polarised curves Cho, Joseph Leschke, Katrin Ogata, Yuta Differential Geometry (2020): 53A04 (Primary) 53A31, 58J72 (Secondary) We show that every finite type polarised curve in the conformal $2$-sphere with a polynomial conserved quantity admits a resonance point, under a non-orthogonality assumption on the conserved quantity. Using this fact, we deduce that every finite type curve polarised by space form arc-length in the conformal $2$-sphere admits a resonance point, possibly on a multiple cover. |
| title | Monodromy of Darboux transformations of polarised curves |
| topic | Differential Geometry (2020): 53A04 (Primary) 53A31, 58J72 (Secondary) |
| url | https://arxiv.org/abs/2503.23891 |