Components of Brill-Noether Loci for Curves with Fixed Gonality

Kaelin Cook-Powell, David Jensen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We describe a conjectural stratification of the Brill- Noether variety for general curves of fixed genus and gonality. As evidence for this conjecture, we show that this Brill-Noether variety has at least as many irreducible components as predicted by the conjecture and that each of these components has the expected dimension. Our proof uses combinatorial and tropical techniques. Specifically, we analyze containment relations between the various strata of tropical Brill-Noether loci identified by Pflueger in his classification of special divisors on chains of loops.

Original languageEnglish
Pages (from-to)19-45
Number of pages27
JournalMichigan Mathematical Journal
Volume71
Issue number1
DOIs
StatePublished - Mar 2022

Bibliographical note

Funding Information:
Received July 22, 2019. Revision received October 13, 2019. The second author was supported by NSF DMS-1601896.

Publisher Copyright:
© 2022 University of Michigan. All rights reserved.

ASJC Scopus subject areas

  • Mathematics (all)

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