Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.12076 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912900622319616 |
|---|---|
| author | Vilches, Nicolás |
| author_facet | Vilches, Nicolás |
| contents | The derived category of coherent systems is an interesting triangulated category associated with a smooth, projective curve $C$. These categories admit Bridgeland stability conditions, as recently shown by Feyzbakhsh and Novik. Their construction depends explicitly on the higher rank Brill-Noether theory of $C$.
In this short note, we study the Feyzbakhsh--Novik stability conditions for a general curve of genus four. We show that these stability conditions degenerate to a stability condition on the Kuznetsov component of the corresponding nodal cubic threefold, using a result of Alexeev-Kuznetsov. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12076 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weak stability conditions on coherent systems of genus four curves Vilches, Nicolás Algebraic Geometry The derived category of coherent systems is an interesting triangulated category associated with a smooth, projective curve $C$. These categories admit Bridgeland stability conditions, as recently shown by Feyzbakhsh and Novik. Their construction depends explicitly on the higher rank Brill-Noether theory of $C$. In this short note, we study the Feyzbakhsh--Novik stability conditions for a general curve of genus four. We show that these stability conditions degenerate to a stability condition on the Kuznetsov component of the corresponding nodal cubic threefold, using a result of Alexeev-Kuznetsov. |
| title | Weak stability conditions on coherent systems of genus four curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.12076 |