The Toledo invariant, and Seshadri constants of fake projective planes

Abstract

The purpose of this paper is to explicitly compute the Seshadri constants of all ample line bundles on fake projective planes. The proof relies on the theory of the Toledo invariant, and more precisely on its characterization of $\C$-Fuchsian curves in complex hyperbolic spaces.

arXiv commentAffiliation updated. To appear in J. Math. Soc. Japan