A curvature estimate for holomophic maps on open Riemann surfaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918391517806592 |
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| author | Chen, Yunling Huynh, Dinh Tuan |
| author_facet | Chen, Yunling Huynh, Dinh Tuan |
| contents | We apply the technique of jet differentials to establish a Gauss curvature estimate for an open Riemann surface $M$, equipped with a conformal metric induced from a nonconstant holomorphic map that is highly ramified over a generic hypersurface of sufficiently high degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15562 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A curvature estimate for holomophic maps on open Riemann surfaces Chen, Yunling Huynh, Dinh Tuan Complex Variables Differential Geometry 53A10, 32H30 We apply the technique of jet differentials to establish a Gauss curvature estimate for an open Riemann surface $M$, equipped with a conformal metric induced from a nonconstant holomorphic map that is highly ramified over a generic hypersurface of sufficiently high degree. |
| title | A curvature estimate for holomophic maps on open Riemann surfaces |
| topic | Complex Variables Differential Geometry 53A10, 32H30 |
| url | https://arxiv.org/abs/2603.15562 |