Growth rate of balls of holomorphic sections on compact Riemann surfaces
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_ | 1866915936368328704 |
|---|---|
| author | Wu, Hao |
| author_facet | Wu, Hao |
| contents | Let $X$ be a compact Riemann surface and let $L$ be a positive line bundle on $X$. We obtain the growth speed of unit ball volume in $H^0(X,L^n)$ towards the energy at equilibrium. As an application, we also obtain the speed of Fekete measures converging to the equilibrium measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12333 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Growth rate of balls of holomorphic sections on compact Riemann surfaces Wu, Hao Complex Variables 31A15, 32L05, 32W20, 58J52 Let $X$ be a compact Riemann surface and let $L$ be a positive line bundle on $X$. We obtain the growth speed of unit ball volume in $H^0(X,L^n)$ towards the energy at equilibrium. As an application, we also obtain the speed of Fekete measures converging to the equilibrium measure. |
| title | Growth rate of balls of holomorphic sections on compact Riemann surfaces |
| topic | Complex Variables 31A15, 32L05, 32W20, 58J52 |
| url | https://arxiv.org/abs/2604.12333 |