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dc.contributor.authorCreech, Steven
dc.contributor.authorLen, Yoav
dc.contributor.authorRitter, Caelan
dc.contributor.authorWu, Derek
dc.identifier.citationCreech , S , Len , Y , Ritter , C & Wu , D 2020 , ' Prym-Brill-Noether loci of special curves ' , International Mathematics Research Notices , vol. Advance Articles .
dc.identifier.otherPURE: 268424981
dc.identifier.otherPURE UUID: 4ce67a14-dbf3-44e4-8c36-d3d9447a8b5a
dc.identifier.otherORCID: /0000-0002-4997-6659/work/81798043
dc.identifier.otherScopus: 85125457779
dc.identifier.otherWOS: 000754760500009
dc.descriptionFunding: This research was conducted at the Georgia Institute of Technology with the support of RTG grant GR10004614 and REU grant GR10004803.en
dc.description.abstractWe 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.
dc.relation.ispartofInternational Mathematics Research Noticesen
dc.rightsCopyright © The Author(s) 2020. Published by Oxford University Press. All rights reserved. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at
dc.subjectQA Mathematicsen
dc.titlePrym-Brill-Noether loci of special curvesen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.description.statusPeer revieweden

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