Work

Non-measure hyperbolicity of K3 surfaces and Hilbert schemes of points on K3 surfaces

Year: 2025

Type: article

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 all Hilbert schemes of points on K3 surfaces. We also obtain a new proof of the non-measure hyperbolicity of any Enriques surface.

Source: Complex Analysis and its Synergies

DOI: 10.1007/s40627-025-00174-0

Authors: Gunhee Cho, David R. Morrison

Institutions: Texas State University, University of California, Santa Barbara

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: National Science Foundation