Prym-Brill-Noether loci of special curves
Abstract
We use Young tableaux to compute the dimension of Vr, the Prym–Brill–Noether locus of a folded chain of loops of any gonality. This tropical result yields a new upper bound on the dimensions of algebraic Prym–Brill–Noether loci. Moreover, we prove that Vr is pure dimensional and connected in codimension 1 when dimVr≥1. We then compute the 1st Betti number of this locus for even gonality when the dimension is exactly 1 and compute the cardinality when the locus is finite and the edge lengths are generic.
Citation
Creech , S , Len , Y , Ritter , C & Wu , D 2020 , ' Prym-Brill-Noether loci of special curves ' , International Mathematics Research Notices , vol. Advance Articles . https://doi.org/10.1093/imrn/rnaa207
Publication
International Mathematics Research Notices
Status
Peer reviewed
ISSN
1073-7928Type
Journal article
Description
Funding: This research was conducted at the Georgia Institute of Technology with the support of RTG grant GR10004614 and REU grant GR10004803.Collections
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