Lifting divisors on a generic chain of loops

Dustin Cartwright; David Jensen; Sam Payne

doi:10.4153/CMB-2014-050-2

Lifting divisors on a generic chain of loops

Dustin Cartwright, David Jensen, Sam Payne

Mathematics

Research output: Contribution to journal › Article › peer-review

20 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 language	English
Pages (from-to)	250-262
Number of pages	13
Journal	Canadian Mathematical Bulletin
Volume	58
Issue number	2
DOIs	https://doi.org/10.4153/CMB-2014-050-2
State	Published - 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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10.4153/CMB-2014-050-2

Cite this

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title = "Lifting divisors on a generic chain of loops",

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.",

keywords = "Brill-Noether theory, Special divisors on algebraic curves, Tropical geometry",

author = "Dustin Cartwright and David Jensen and Sam Payne",

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AU - Jensen, David

AU - Payne, Sam

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N2 - 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.

AB - 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.

KW - Brill-Noether theory

KW - Special divisors on algebraic curves

KW - Tropical geometry

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JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

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ER -

Lifting divisors on a generic chain of loops

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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