Reconstruction of general elliptic K3 surfaces from their Gromov-Hausdorff limits
Algebraic Geometry
2019-10-25 v2
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.
Cite
@article{arxiv.1805.01719,
title = {Reconstruction of general elliptic K3 surfaces from their Gromov-Hausdorff limits},
author = {Kenji Hashimoto and Kazushi Ueda},
journal= {arXiv preprint arXiv:1805.01719},
year = {2019}
}
Comments
7 pages; v2: Revised reflecting comments of the referees and remarks by Remke Kloosterman