English

Regenerations and applications

Algebraic Geometry 2025-02-05 v1

Abstract

Chen-Gounelas-Liedtke recently introduced a powerful regeneration technique, a process opposite to specialization, to prove existence results for rational curves on projective K3K3 surfaces. We show that, for projective irreducible holomorphic symplectic manifolds, an analogous regeneration principle holds and provides a very flexible tool to prove existence of uniruled divisors, significantly improving known results.

Keywords

Cite

@article{arxiv.2310.18248,
  title  = {Regenerations and applications},
  author = {Giovanni Mongardi and Gianluca Pacienza},
  journal= {arXiv preprint arXiv:2310.18248},
  year   = {2025}
}
R2 v1 2026-06-28T13:03:58.220Z