Hyperbolicity of smooth logarithmic and orbifold pairs in $\mathbb{P}^n$
Algebraic Geometry
2026-03-17 v2 Complex Variables
Abstract
We derive a necessary and sufficient condition on a hyperplane arrangement in for the associated logarithmic cotangent bundle to be ample modulo boundary. We extend this result to the orbifold setting and give some applications concerning hyperbolicity of pairs. We improve significantly the results of Darondeau-Rousseau.
Keywords
Cite
@article{arxiv.2406.04069,
title = {Hyperbolicity of smooth logarithmic and orbifold pairs in $\mathbb{P}^n$},
author = {Clara Dérand},
journal= {arXiv preprint arXiv:2406.04069},
year = {2026}
}
Comments
ArXiV version. 32 pages, 2 figures. There was a mistake in the proof of theorem 4.7, now corrected