%0 Journal Article
%T Brill-Noether theory of curves on toric surfaces
%A Geoffrey Degener Smith
%J Mathematics
%D 2014
%I arXiv
%X A Laurent polynomial $f$ in two variables naturally describes a projective curve $C(f)$ on a toric surface. We show that if $C(f)$ is a smooth curve of genus at least 7, then $C(f)$ is not Brill-Noether general. To accomplish this, we classify all Newton polygons that admit such curves whose divisors all have nonnegative Brill-Noether number.
%U http://arxiv.org/abs/1403.2317v2