English

Holomorphic maps from complex discs intersecting families of hypersurfaces

Complex Variables 2024-06-05 v2

Abstract

In this paper, we establish second main theorems for holomorphic maps with finite growth index on complex discs intersecting families of hypersurfaces (moving and fixed) in projective varieties, where the small term is detailed estimate for various cases. Our results are generalizations and extensions of many previous second main theorems for holomorphic maps from C\mathbb C intersecting with hypersurfaces (moving and fixed) or moving hyperplanes.

Keywords

Cite

@article{arxiv.2112.12972,
  title  = {Holomorphic maps from complex discs intersecting families of hypersurfaces},
  author = {Si Duc Quang},
  journal= {arXiv preprint arXiv:2112.12972},
  year   = {2024}
}

Comments

25 pages; This paper is accepted for publication in Complex Variables and Elliptic Equation (2022)

R2 v1 2026-06-24T08:30:45.945Z