English

Non-reductive geometric invariant theory and hyperbolicity

Algebraic Geometry 2023-09-11 v4 Algebraic Topology

Abstract

The Green--Griffiths--Lang and Kobayashi hyperbolicity conjectures for generic hypersurfaces of polynomial degree are proved using intersection theory for non-reductive geometric invariant theoretic quotients and recent work of Riedl and Yang.

Keywords

Cite

@article{arxiv.1909.11417,
  title  = {Non-reductive geometric invariant theory and hyperbolicity},
  author = {Gergely Bérczi and Frances Kirwan},
  journal= {arXiv preprint arXiv:1909.11417},
  year   = {2023}
}

Comments

38 pages, final version. To appear in Invent. Math

R2 v1 2026-06-23T11:25:19.686Z