The Apollonian circle packing and ample cones for K3 surfaces
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2017
- DOI:
- arXiv:
- arXiv:1708.06061
- Bibcode:
- 2017arXiv170806061B
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14J28;
- 14J27;
- 14J50;
- 51F15;
- 20F55;
- 52C26