English

K3 surfaces with ten cusps

Algebraic Geometry 2018-06-20 v1

Abstract

We show that normal K3 surfaces with ten cusps exist in and only in characteristic 3. We determine these K3 surfaces according to the degrees of the polarizations. Explicit examples are given.

Keywords

Cite

@article{arxiv.math/0411425,
  title  = {K3 surfaces with ten cusps},
  author = {Ichiro Shimada and De-Qi Zhang},
  journal= {arXiv preprint arXiv:math/0411425},
  year   = {2018}
}

Comments

submitted to the Proceedings of Conference on Algebraic Geometry in honour of Prof. Dolgachev, July 2004; Contemparary Math. AMS