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arxiv: math/0411425 · v1 · pith:3RJH2TIRnew · submitted 2004-11-19 · 🧮 math.AG

K3 surfaces with ten cusps

classification 🧮 math.AG
keywords surfacescuspsaccordingcharacteristicdegreesdetermineexamplesexist
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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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