An Algorithm for the Tropical Realizability Problem for Families of Curves

2018/03/12 by Tripoli, Paolo
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.04491

Abstract

Given a tropical fan curve Σ and a family of algebraic curves X → \mathbbA^k we define the realization locus \mathopReal_Σ⊆ \mathbbA^k as the set of fibers X_a whose tropicalization is Σ. We produce an algorithm that describes the Zariski closure of \mathopReal_Σ by imposing algebraic conditions for each ray of Σ.

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