English

The Second Main Theorem with moving hypersurfaces in subgeneral position

Complex Variables 2025-01-03 v1

Abstract

In this paper, we prove a second main theorem for a holomorphic curve ff into PN(C)\mathbb P^N (\mathbb C) with a family of slowly moving hypersurfaces D1,...,DqD_1,...,D_q with respect to ff in mm-subgeneral position, proving an inequality with factor 323 \over 2. The motivation comes from the recent result of Heier and Levin.

Keywords

Cite

@article{arxiv.2501.00833,
  title  = {The Second Main Theorem with moving hypersurfaces in subgeneral position},
  author = {Qili Cai and Chin-Jui Yang},
  journal= {arXiv preprint arXiv:2501.00833},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-06-28T20:53:56.858Z