2014/02/19 by Castryck, Wouter, Cools, Filip
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1402.4652
We give upper bounds on the minimal degree of a model in ℙ2 and the minimal bidegree of a model in ℙ1 × ℙ1 of the curve defined by a given Laurent polynomial, in terms of the combinatorics of the Newton polygon of the latter. We prove in various cases that this bound is sharp as soon as the polynomial is sufficiently generic with respect to its Newton polygon.