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 language | English |
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Pages (from-to) | 19-45 |
Number of pages | 27 |
Journal | Michigan Mathematical Journal |
Volume | 71 |
Issue number | 1 |
DOIs | |
State | Published - Mar 2022 |
Bibliographical note
Publisher Copyright:© 2022 University of Michigan. All rights reserved.
Funding
Received July 22, 2019. Revision received October 13, 2019. The second author was supported by NSF DMS-1601896.
Funders | Funder number |
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National Science Foundation (NSF) | DMS-1601896 |
ASJC Scopus subject areas
- General Mathematics