학술논문
Non-Measure Hyperbolicity of K3 Surfaces and Hilbert Schemes of Points on K3 Surfaces
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Working Paper
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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.
Comment: 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
Comment: 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