Prym-Brill-Noether loci of special curves

Creech, Steven; Len, Yoav; Ritter, Caelan; Wu, Derek

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dc.contributor.author	Creech, Steven
dc.contributor.author	Len, Yoav
dc.contributor.author	Ritter, Caelan
dc.contributor.author	Wu, Derek
dc.date.accessioned	2021-08-24T23:38:25Z
dc.date.available	2021-08-24T23:38:25Z
dc.date.issued	2020-08-25
dc.identifier.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	en
dc.identifier.issn	1073-7928
dc.identifier.other	PURE: 268424981
dc.identifier.other	PURE UUID: 4ce67a14-dbf3-44e4-8c36-d3d9447a8b5a
dc.identifier.other	ArXiv: http://arxiv.org/abs/1912.02863v1
dc.identifier.other	ORCID: /0000-0002-4997-6659/work/81798043
dc.identifier.other	Scopus: 85125457779
dc.identifier.other	WOS: 000754760500009
dc.identifier.uri	http://hdl.handle.net/10023/23827
dc.description	Funding: This research was conducted at the Georgia Institute of Technology with the support of RTG grant GR10004614 and REU grant GR10004803.	en
dc.description.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.
dc.format.extent	41
dc.language.iso	eng
dc.relation.ispartof	International Mathematics Research Notices	en
dc.rights	Copyright © 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 https://doi.org/10.1093/imrn/rnaa207	en
dc.subject	QA Mathematics	en
dc.subject	T-NDAS	en
dc.subject	BDP	en
dc.subject.lcc	QA	en
dc.title	Prym-Brill-Noether loci of special curves	en
dc.type	Journal article	en
dc.description.version	Postprint	en
dc.contributor.institution	University of St Andrews. Pure Mathematics	en
dc.identifier.doi	https://doi.org/10.1093/imrn/rnaa207
dc.description.status	Peer reviewed	en
dc.date.embargoedUntil	2021-08-25

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University of St Andrews Research

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