Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.14727 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912274004836352 |
|---|---|
| author | Blomme, Thomas |
| author_facet | Blomme, Thomas |
| contents | We generalize a previous result by Fabricius-Bjerre from curves in $\mathbb R^2$ to curves in $\mathbb R P^2$. Applied to the case of real algebraic curves, this recovers the signed count of bitangents of quartics introduced by Larson-Vogt and proves its positivity, conjectured by Larson-Vogt. Our method is not specific to quartics and applies to algebraic curves of any degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14727 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the double tangent of projective closed curves Blomme, Thomas Algebraic Geometry We generalize a previous result by Fabricius-Bjerre from curves in $\mathbb R^2$ to curves in $\mathbb R P^2$. Applied to the case of real algebraic curves, this recovers the signed count of bitangents of quartics introduced by Larson-Vogt and proves its positivity, conjectured by Larson-Vogt. Our method is not specific to quartics and applies to algebraic curves of any degree. |
| title | On the double tangent of projective closed curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2409.14727 |