Work

Defect relation for holomorphic maps from complex discs into projective varieties and hypersurfaces

Year: 2024

Type: article

Abstract: In this paper, we establish a second main theorem for holomorphic maps with finite growth index on complex discs intersecting arbitrary families of hypersurfaces (fixed and moving) in projective varieties, which gives an above bound of the sum of truncated defects. Our result also generalizes and improves many previous second main theorems for holomorphic maps from ${\mathbb{C}}$ intersecting hypersurfaces (moving and fixed) in projective varieties.

Source: Proceedings of the Edinburgh Mathematical Society

DOI: 10.1017/s0013091524000774

Author: Si Duc Quang

Institution: Hanoi National University of Education

Language: English

Topic: Meromorphic and Entire Functions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4404620114

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Cites: 8

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Related to: 10