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arXiv · 2310.18248

Regenerations and applications

Giovanni Mongardi·Gianluca Pacienza
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Abstract

Chen-Gounelas-Liedtke recently introduced a powerful regeneration technique, a process opposite to specialization, to prove existence results for rational curves on projective $K3$ 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.

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Giovanni Mongardi, Gianluca Pacienza. 2023-10-27. Regenerations and applications. https://doi.org/10.1017/fms.2024.153

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