Wing-Keung To, National University of Singapore

Gonality, Seshadri Numbers and Singular Potentials

 

Abstract

In this talk, I will discuss a recent joint work with J.-M. Hwang on obtaining a lower bound of the gonality of compact Riemann surfaces in terms of hyperbolic geometric invariants. The lower bound is obtained through the construction of suitable singular potential functions. I will also discuss the relevance of the present work with our earlier works on Seshadri numbers.