Reconstruction of general elliptic K3 surfaces from their Gromov–Hausdorff limits

Hashimoto, Kenji; Ueda, Kazushi

doi:10.1090/proc/14428

Reconstruction of general elliptic K3 surfaces from their Gromov–Hausdorff limits
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by Kenji Hashimoto and Kazushi Ueda

Proc. Amer. Math. Soc. 147 (2019), 1963-1969

DOI: https://doi.org/10.1090/proc/14428

Published electronically: February 6, 2019

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Abstract:

We show that a general elliptic K3 surface with a section is determined uniquely by its discriminant, which is a configuration of 24 points on the projective line. It follows that a general elliptic K3 surface with a section can be reconstructed from its Gromov–Hausdorff limit as the volume of the fiber goes to zero.

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