English

The Apollonian circle packing and ample cones for K3 surfaces

Algebraic Geometry 2017-08-22 v1

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.

Cite

@article{arxiv.1708.06061,
  title  = {The Apollonian circle packing and ample cones for K3 surfaces},
  author = {Arthur Baragar},
  journal= {arXiv preprint arXiv:1708.06061},
  year   = {2017}
}
R2 v1 2026-06-22T21:19:07.483Z