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A metric graph satisfying w14=1 that cannot be lifted to a curve satisfying dim (W14)=1
Journal Contribution - Journal Article
For all integers $g \geq 6$ we prove the existence of a metric graph $G$ with $w^1_4=1$ 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.
Journal: Open Mathematics
ISSN: 2391-5455
Issue: 1
Volume: 14
Pages: 1 - 12
Publication year:2016
BOF-keylabel:yes
IOF-keylabel:yes
BOF-publication weight:1
CSS-citation score:1
Authors from:Higher Education
Accessibility:Open