K3 surfaces with ten cusps

Details K3 surfaces with ten cusps K3 surfaces with ten cusps

2004-11-19

arxiv.org/abs/math/0411425v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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