Algebraic hyperbolicity of very general hypersurfaces in weighted projective spaces

2025/11/07 by Wang, Jiahe
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2511.04890

Abstract

We provide a bound for m such that the zero locus of a very general section of an m-multiple of some ample line bundle on a weighted projective space with isolated singularities is algebraically hyperbolic.

Citations

• A hyperbolicity conjecture for adjoint bundles
• Algebraic hyperbolicity of very general hypersurfaces in homogeneous varieties
• Algebraic hyperbolicity of very general hypersurfaces in products of projective spaces
• Algebraic hyperbolicity of very general surfaces
• Rational curves on general projective hypersurfaces

Related

• Algebraic hyperbolicity of very general hypersurfaces in products of projective spaces
• On the hyperbolicity of general hypersurfaces
• Algebraic hyperbolicity of very general hypersurfaces in homogeneous varieties
• Proof of the Kobayashi conjecture on the hyperbolicity of very general hypersurfaces
• Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces