A non-integrated defect relation for holomorphic maps into algebraic varieties
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915087712780288 |
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| author | Cai, Qili Ru, Min Yang, Chin-Jui |
| author_facet | Cai, Qili Ru, Min Yang, Chin-Jui |
| contents | In 1983, relating to the study of value distribution of the Guass maps of complete minimal surfaces in ${\Bbb R}^m$, H. Fujimoto introduced the notion of the non-integrated defect for holomorphic maps of an open Riemann surface into $\mathbb{P}^n(\mathbb{C})$ and obtained some results analogous to the Nevanlinna-Cartan defect relation. This paper establishes the non-integrated defect relation for holomorphic maps into projective varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00827 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A non-integrated defect relation for holomorphic maps into algebraic varieties Cai, Qili Ru, Min Yang, Chin-Jui Complex Variables 32H30 (Primary), 53A30 (Secondary) In 1983, relating to the study of value distribution of the Guass maps of complete minimal surfaces in ${\Bbb R}^m$, H. Fujimoto introduced the notion of the non-integrated defect for holomorphic maps of an open Riemann surface into $\mathbb{P}^n(\mathbb{C})$ and obtained some results analogous to the Nevanlinna-Cartan defect relation. This paper establishes the non-integrated defect relation for holomorphic maps into projective varieties. |
| title | A non-integrated defect relation for holomorphic maps into algebraic varieties |
| topic | Complex Variables 32H30 (Primary), 53A30 (Secondary) |
| url | https://arxiv.org/abs/2501.00827 |