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arxiv: 1708.06061 · v1 · pith:25MSK5VAnew · submitted 2017-08-21 · 🧮 math.AG

The Apollonian circle packing and ample cones for K3 surfaces

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keywords ampleapollonianconepackingquestionsurfacesaffirmativeanswer
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In an earlier work, we gave an Apollonian-like pictorial representation for the ample cone for a class of K3 surfaces. This raises a natural question: Does the Apollonian packing itself represent the ample cone for a K3 surface? In this note, we answer this question in the affirmative.

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