Projective embedding of stably degenerating sequence of hyperbolic Riemann surfaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911964265971712 |
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| author | Sun, Jingzhou |
| author_facet | Sun, Jingzhou |
| contents | Given a sequence of genus $g\geq 2$ curves converging to a punctured Riemann surface with complete metric of constant Gaussian curvature $-1$.
we prove that the Kodaira embedding using orthonormal basis of the Bergman space of sections of a pluri-canonical bundle also converges to the embedding of the limit space together with extra complex projective lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_03825 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Projective embedding of stably degenerating sequence of hyperbolic Riemann surfaces Sun, Jingzhou Complex Variables Algebraic Geometry 32G05, 32G15, 32A25 Given a sequence of genus $g\geq 2$ curves converging to a punctured Riemann surface with complete metric of constant Gaussian curvature $-1$. we prove that the Kodaira embedding using orthonormal basis of the Bergman space of sections of a pluri-canonical bundle also converges to the embedding of the limit space together with extra complex projective lines. |
| title | Projective embedding of stably degenerating sequence of hyperbolic Riemann surfaces |
| topic | Complex Variables Algebraic Geometry 32G05, 32G15, 32A25 |
| url | https://arxiv.org/abs/2006.03825 |