Maximal Symplectic packings of ${\P }^2$

Abstract

In this paper we describe the intersection between the balls of maximal symplectic packings of ${\P }^2$. This analysis shows the existence of singular points for maximal packings of ${\P }^2$ by more than three equal balls. It also yields a construction of a class of very regular examples of maximal packings by five balls.

18 pages, 4 figures