2015/01/15 by Marc Coppens, Coppens, Marc
Computer Science · Mathematics · #05C99 #14H51 #14TO5 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Polynomial and algebraic computation #math.AG #math.CO #msc:05C99 #msc:14H51 #msc:14TO5
paper · pdf · doi:10.48550/arxiv.1501.03740
13 pages, 6 figures
arxiv created 2015/01/15 · openalex publication_date 2015/01/15 · arxiv updated 2015/01/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
For all integers g ≥ 6 we prove the existence of a metric graph G with w14=1 such that G has Clifford index 2 and there is no tropical modification G' of G such that there exists a finite harmonic morphism of degree 2 from G' to a metric graph of genus 1. Those examples show that dimension theorems on the space classifying special linear systems for curves do not all of them have immediate translation to the theory of divisors on metric graphs.