Avoidance Criteria for Normal Holomorphic Curves on Complex Projective Space
Complex Variables
2026-05-11 v1
Abstract
We establish an avoidance criterion for families of holomorphic curves from the unit disk in complex plane to the complex projective space that omit sufficiently many moving hypersurfaces in pointwise general position. Furthermore, we study families of holomorphic curves that share hyperplanes and derive analogous normality conditions in this context.
Keywords
Cite
@article{arxiv.2605.07583,
title = {Avoidance Criteria for Normal Holomorphic Curves on Complex Projective Space},
author = {Gopal Datt and Rahul Gogoi and Kushal Lalwan},
journal= {arXiv preprint arXiv:2605.07583},
year = {2026}
}