2014/03/10 by Smith, Geoffrey Degener
#14H51 #52B20 #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1403.2317
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.