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Search: MSC category 14H51 ( Special divisors (gonality, Brill-Noether theory) )

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1. CMB 2015 (vol 58 pp. 250)

Cartwright, Dustin; Jensen, David; Payne, Sam
Lifting Divisors on a Generic Chain of Loops
Let $C$ be a curve over a complete valued field with infinite residue field 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.

Keywords:tropical geometry, Brill-Noether theory, special divisors on algebraic curves
Categories:14T05, 14H51

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