Algebraic hyperbolicity of very general hypersurfaces in homogeneous varieties
Algebraic Geometry
2026-05-27 v4
Abstract
We generalize techniques by Coskun, Riedl, and Yeong, and obtain an almost optimal bound on the degree for the algebraic hyperbolicity of very general hypersurfaces in rational homogeneous varieties. As examples, we work out the cases of very general hypersurfaces in Grassmannians and products therefore, orthogonal and symplectic Grassmannians, and flag varieties.
Keywords
Cite
@article{arxiv.2307.10461,
title = {Algebraic hyperbolicity of very general hypersurfaces in homogeneous varieties},
author = {Lucas Mioranci},
journal= {arXiv preprint arXiv:2307.10461},
year = {2026}
}