Non-Measure Hyperbolicity of Complex K3 Surfaces
Algebraic Geometry
2024-09-30 v5
Abstract
We show that the non-measure hyperbolicity of K3 surfaces -- which M. Green and P. Griffiths verified for certain cases in 1980 -- holds for all K3 surfaces. As a byproduct, we prove the non-measure hyperbolicity of any Hilbert schemes of points on K3 surfaces. We also obtain a new proof of the non-measure hyperbolicity of any Enriques surface.
Keywords
Cite
@article{arxiv.2307.04288,
title = {Non-Measure Hyperbolicity of Complex K3 Surfaces},
author = {Gunhee Cho and David R. Morrison},
journal= {arXiv preprint arXiv:2307.04288},
year = {2024}
}
Comments
We received comments from A. Javanpekar, L. Kamenova, Steven Lu, and Mikhail Zaidenberg after putting the preprint on arXiv, so we made a revision taking these into account. Update the consequence on Hilbert Scheme of points on K3 surfaces. arXiv admin note: text overlap with arXiv:1308.5667 by other authors