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. |