Lifting divisors on a generic chain of loops

Dustin Cartwright, David Jensen, Sam Payne

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

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.

Original languageEnglish
Pages (from-to)250-262
Number of pages13
JournalCanadian Mathematical Bulletin
Volume58
Issue number2
DOIs
StatePublished - Jun 2015

Bibliographical note

Publisher Copyright:
© Canadian Mathematical Society 2015.

Keywords

  • Brill-Noether theory
  • Special divisors on algebraic curves
  • Tropical geometry

ASJC Scopus subject areas

  • General Mathematics

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