Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915481030492160 |
|---|---|
| author | Delloque, Rémi |
| author_facet | Delloque, Rémi |
| contents | In this short note, we provide a broad class of examples of stability conditions on the category of coherent sheaves which generalise Gieseker stability. We refer to them as "adapted to coherent sheaves" and they admit Harder--Narasimhan and Jordan--Hölder filtrations. We also study the particular case of Bayer's polynomial Bridgeland stability conditions, and their relation to the gauge theoretical counterpart introduced by Dervan--McCarthy--Sektnan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves Delloque, Rémi Algebraic Geometry 14F06 (Primary), 14F08 (Secondary) In this short note, we provide a broad class of examples of stability conditions on the category of coherent sheaves which generalise Gieseker stability. We refer to them as "adapted to coherent sheaves" and they admit Harder--Narasimhan and Jordan--Hölder filtrations. We also study the particular case of Bayer's polynomial Bridgeland stability conditions, and their relation to the gauge theoretical counterpart introduced by Dervan--McCarthy--Sektnan. |
| title | Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves |
| topic | Algebraic Geometry 14F06 (Primary), 14F08 (Secondary) |
| url | https://arxiv.org/abs/2506.21939 |