Fubini-Study forms on punctured Riemann surfaces
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916794775633920 |
|---|---|
| author | Apredoaei, Razvan Ma, Xiaonan Wang, Lei |
| author_facet | Apredoaei, Razvan Ma, Xiaonan Wang, Lei |
| contents | In this paper we consider a punctured Riemann surface endowed with a Hermitian metric that equals the Poincaré metric near the punctures, and a holomorphic line bundle that polarizes the metric. We show that the quotient of the induced Fubini-Study forms by Kodaira maps of high tensor powers of the line bundle and the Poincaré form near the singularity grows polynomially uniformly on a neighborhood of the singularity as the tensor power tends to infinity, as an application of the method in [5]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05863 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fubini-Study forms on punctured Riemann surfaces Apredoaei, Razvan Ma, Xiaonan Wang, Lei Complex Variables Differential Geometry In this paper we consider a punctured Riemann surface endowed with a Hermitian metric that equals the Poincaré metric near the punctures, and a holomorphic line bundle that polarizes the metric. We show that the quotient of the induced Fubini-Study forms by Kodaira maps of high tensor powers of the line bundle and the Poincaré form near the singularity grows polynomially uniformly on a neighborhood of the singularity as the tensor power tends to infinity, as an application of the method in [5]. |
| title | Fubini-Study forms on punctured Riemann surfaces |
| topic | Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2506.05863 |