Notes on the deformed Hermitian-Yang-Mills equations and the large scaling limits of stability conditions
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917432817352704 |
|---|---|
| author | Fan, Yu-Wei |
| author_facet | Fan, Yu-Wei |
| contents | In this short note, we show that, assuming a conjecture of Arcara and Miles, a line bundle on a smooth complex projective surface admits a deformed Hermitian-Yang-Mills metric if and only if it is stable in the ``large scaling limit" with respect to a generic Kähler form. The same statement for toric surfaces was recently proved by Stoppa. The purpose of this note is to remark that this equivalence holds for arbitrary smooth projective surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_22246 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Notes on the deformed Hermitian-Yang-Mills equations and the large scaling limits of stability conditions Fan, Yu-Wei Algebraic Geometry Differential Geometry In this short note, we show that, assuming a conjecture of Arcara and Miles, a line bundle on a smooth complex projective surface admits a deformed Hermitian-Yang-Mills metric if and only if it is stable in the ``large scaling limit" with respect to a generic Kähler form. The same statement for toric surfaces was recently proved by Stoppa. The purpose of this note is to remark that this equivalence holds for arbitrary smooth projective surfaces. |
| title | Notes on the deformed Hermitian-Yang-Mills equations and the large scaling limits of stability conditions |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2604.22246 |