Algebraic hyperbolicity of very general hypersurfaces in homogeneous varieties
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Differential Equations and Dynamical Systems
Polynomial and algebraic computation
Publication details
- Journal / source
- Épijournal de Géométrie Algébrique
- Volume
- Volume 10
- Publication date
- 19 March 2026
- Language
- EN