Lifting Divisors on a Generic Chain of Loops. Issue 2 (1st June 2015)

• Record Type: Journal Article
• Authors: Cartwright, Dustin; Jensen, David; Payne, Sam
• Is Part Of: Canadian mathematical bulletin =. Volume 58:Issue 2(2015)
• Page Start: 250
• Page End: 262
• Publication Date: 2015-06-01
• Subjects: 14T05 -- 14H51; tropical geometry -- Brill–Noether theory -- special divisors on algebraic curves; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.4153/CMB-2014-050-2
• Languages: English
• ISSNs: 0008-4395

Abstract

Abstract: 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.