Geodesic
Lifting Divisors on a Generic Chain of Loops
Canadian mathematical bulletin, Tome 58 (2015) no. 2, pp. 250-262

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DOI

Let $C$ be a curve over a complete valued field having an infinite residue field and whose skeleton is a chain of loops with generic edge lengths. We prove that any divisor on the chain of loops that is rational over the value group lifts to a divisor of the same rank on $C$ , confirming a conjecture of Cools, Draisma, Robeva, and the third author.
DOI : 10.4153/CMB-2014-050-2
Mots-clés : 14T05, 14H51, tropical geometry, Brill–Noether theory, special divisors on algebraic curves 
Cartwright, Dustin; Jensen, David; Payne, Sam. Lifting Divisors on a Generic Chain of Loops. Canadian mathematical bulletin, Tome 58 (2015) no. 2, pp. 250-262. doi: 10.4153/CMB-2014-050-2
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     title = {Lifting {Divisors} on a {Generic} {Chain} of {Loops}},
     journal = {Canadian mathematical bulletin},
     pages = {250--262},
     year = {2015},
     volume = {58},
     number = {2},
     doi = {10.4153/CMB-2014-050-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-050-2/}
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