Algebraic hyperbolicity of very general hypersurfaces in homogeneous varieties

2023/07/19 by Lucas Mioranci, Mioranci, Lucas · 3 citations
Mathematics · Computer Science · #math.AG

paper · pdf · doi:10.46298/epiga.2025.14608

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.

Cited by

• Algebraic hyperbolicity of very general hypersurfaces in weighted projective spaces
• Algebraic hyperbolicity of subvarieties of homogeneous varieties
• Algebraic hyperbolicity of adjoint linear systems on spherical varieties

Related

• Algebraic hyperbolicity of subvarieties of homogeneous varieties
• Algebraic hyperbolicity of very general hypersurfaces in products of projective spaces
• Algebraic hyperbolicity of very general hypersurfaces in weighted projective spaces
• Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces
• Algebraic hyperbolicity of very general surfaces