English

Hyperbolicity of Fermat-type curves and their complements

Algebraic Geometry 2026-02-18 v1

Abstract

In this paper, by using the generalized Borel theorems in CP2\mathbb{CP}^2, we show the hyperbolicity of Fermat type curves and their complement in CP2\mathbb{CP}^2. This improves Noguchi-Shirosaki's and Demailly-El Goul's degree bounds.

Keywords

Cite

@article{arxiv.2602.15597,
  title  = {Hyperbolicity of Fermat-type curves and their complements},
  author = {Anh Tuan Nguyen},
  journal= {arXiv preprint arXiv:2602.15597},
  year   = {2026}
}