K3 surfaces with ten cusps
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 2004
- DOI:
- 10.48550/arXiv.math/0411425
- arXiv:
- arXiv:math/0411425
- Bibcode:
- 2004math.....11425S
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14J28
- E-Print:
- submitted to the Proceedings of Conference on Algebraic Geometry in honour of Prof. Dolgachev, July 2004