Lifting Divisors on a Generic Chain of Loops

Cartwright, Dustin ; Jensen, David ; Payne, Sam

Canadian mathematical bulletin, Tome 58 (2015) no. 2, pp. 250-262

Résumé

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.

Détail

DOI : 10.4153/CMB-2014-050-2

Mots-clés : 14T05, 14H51, tropical geometry, Brill–Noether theory, special divisors on algebraic curves

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