General form of second main theorem on generalized $p$-Parabolic manifolds for arbitrary closed subschemes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866912903682064384 |
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| author | Quang, Si Duc |
| author_facet | Quang, Si Duc |
| contents | By introducing the notion of distributive constant for a family of closed subschemes, we establish a general form of the second main theorem for algebraic nondegenerate meromorphic mappings from a generalized $p$-Parabolic manifold into a projective variety with arbitrary families of closed subschemes. As its consequence, we give a second main theorem for such meromorphic mappings intersecting arbitrary hypersurfaces with an explicitly truncation level for the counting functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_01889 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | General form of second main theorem on generalized $p$-Parabolic manifolds for arbitrary closed subschemes Quang, Si Duc Complex Variables 32H30, 32A22, 30D35 By introducing the notion of distributive constant for a family of closed subschemes, we establish a general form of the second main theorem for algebraic nondegenerate meromorphic mappings from a generalized $p$-Parabolic manifold into a projective variety with arbitrary families of closed subschemes. As its consequence, we give a second main theorem for such meromorphic mappings intersecting arbitrary hypersurfaces with an explicitly truncation level for the counting functions. |
| title | General form of second main theorem on generalized $p$-Parabolic manifolds for arbitrary closed subschemes |
| topic | Complex Variables 32H30, 32A22, 30D35 |
| url | https://arxiv.org/abs/2212.01889 |