Lifting divisors on a generic chain of loops

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.

14 pages, 3 figures v2: minor changes, to appear in Canadian Mathematical Bulletin

References in corpus (1)

• Tropical varieties for non-archimedean analytic spaces

Cited by in corpus (5)

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