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arXiv · 1404.4001

Lifting divisors on a generic chain of loops

Dustin Cartwright·David Jensen·Sam Payne
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Abstract

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.

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Dustin Cartwright, David Jensen, Sam Payne. 2014-04-15. Lifting divisors on a generic chain of loops. https://doi.org/10.4153/cmb-2014-050-2

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