Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain

In this paper, we establish the results about spread relation to holomorphic curve intersecting hypersurfaces. Using the spread relation for holomorphic curve and Second Main Theorem, we prove some results for uniqueness problem of holomorphic curve by inverse image of hypersurfaces on angular domain. In my knowledge, it is the first time that uniqueness problem for holomorphic curves on angular domain into projective space intersecting with hypersurfaces is studied. Furthermore, we also study the growth of holomorphic curves with radially distributed hypersurfaces.

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Publication Details

Journal
Asymptotic Analysis
Published
2024-08-23
DOI
https://doi.org/10.3233/asy-241931
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
0.00
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article

Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain

Nguyen Van Thin
Asymptotic Analysis
Meromorphic and Entire Functions
article

Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain

Nguyen Van Thin
article en

Abstract

In this paper, we establish the results about spread relation to holomorphic curve intersecting hypersurfaces. Using the spread relation for holomorphic curve and Second Main Theorem, we prove some results for uniqueness problem of holomorphic curve by inverse image of hypersurfaces on angular domain. In my knowledge, it is the first time that uniqueness problem for holomorphic curves on angular domain into projective space intersecting with hypersurfaces is studied. Furthermore, we also study the growth of holomorphic curves with radially distributed hypersurfaces.

Asymptotic AnalysisVol. 143(2)
Thai Nguyen University (VN), Thai Nguyen University Of Education
Openalex Percentile: Top 77%
Meromorphic and Entire Functions
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