Holomorphic mappings of maximal rank into projective spaces
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913440780517376 |
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| author | Huynh, Dinh Tuan |
| author_facet | Huynh, Dinh Tuan |
| contents | Let $1\leq p\leq n$ be two positive integers. For a linearly nondegenerate holomorphic mapping $f\colon\mathbb{C}^p\rightarrow\mathbb{P}^n(\mathbb{C})$ of maximal rank intersecting a family of hyperplanes in general position, we obtain a Cartan's type Second Main Theorem in which the counting functions are truncated to level $n+1-p$. Our result strengthens the classical results of Stoll and Vitter, and interpolates the important works of Cartan and Carlson-Griffiths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_14743 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Holomorphic mappings of maximal rank into projective spaces Huynh, Dinh Tuan Complex Variables 32H30, 32A22 Let $1\leq p\leq n$ be two positive integers. For a linearly nondegenerate holomorphic mapping $f\colon\mathbb{C}^p\rightarrow\mathbb{P}^n(\mathbb{C})$ of maximal rank intersecting a family of hyperplanes in general position, we obtain a Cartan's type Second Main Theorem in which the counting functions are truncated to level $n+1-p$. Our result strengthens the classical results of Stoll and Vitter, and interpolates the important works of Cartan and Carlson-Griffiths. |
| title | Holomorphic mappings of maximal rank into projective spaces |
| topic | Complex Variables 32H30, 32A22 |
| url | https://arxiv.org/abs/2306.14743 |