arXiv Open Access 2024

Hyperbolicity of generic hypersurfaces of polynomial degree via Green-Griffiths jet differentials

Benoit Cadorel

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Abstrak

We give a new version of a recent result of B{é}rczi-Kirwan, proving the Kobayashi and Green-Griffiths-Lang conjectures for generic hypersurfaces in the projective space , with a polynomial lower bound on the degree. Our strategy again relies on Siu's technique of slanted vector fields and the use of holomorphic Morse inequalities to prove the existence of a jet differential equation with a negative twist -- however, instead of using a space of invariant jet differentials, we base our computations on the classical Green-Griffiths jet spaces.

Topik & Kata Kunci

math.AG

Penulis (1)

Benoit Cadorel

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APA MLA BibTeX

Cadorel, B. (2024). Hyperbolicity of generic hypersurfaces of polynomial degree via Green-Griffiths jet differentials. https://arxiv.org/abs/2406.19003

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓