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Lifting Divisors on a Generic Chain of Loops

Published online by Cambridge University Press:  20 November 2018

Dustin Cartwright ,
David Jensen  and
Sam Payne
Dustin Cartwright
Affiliation:
Department of Mathematics, University of Tennessee, 227 Ayres Hall, Knoxville, TN 37996, USA. e-mail: cartwright@utk.edu
David Jensen
Affiliation:
Department of Mathematics, University of Kentucky, 719 Patterson Office Tower, Lexington, KY 40506, USA. e-mail: dave.h.jensen@gmail.com
Sam Payne
Affiliation:
Department of Mathematics, Yale University, PO Box 208283, New Haven, CT 06520, USA. e-mail: sam.payne@yale.edu
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Abstract

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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.

Keywords

14T0514H51tropical geometryBrill–Noether theoryspecial divisors on algebraic curves
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 2 , 01 June 2015 , pp. 250 - 262
Copyright
Copyright © Canadian Mathematical Society 2015

References

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