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Prym-Brill-Noether loci of special curves
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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 | 268424981 | |
| dc.identifier | 4ce67a14-dbf3-44e4-8c36-d3d9447a8b5a | |
| dc.identifier | 85125457779 | |
| dc.identifier | 000754760500009 | |
| 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 | ArXiv: http://arxiv.org/abs/1912.02863v1 | |
| dc.identifier.other | ORCID: /0000-0002-4997-6659/work/81798043 | |
| dc.identifier.uri | https://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.format.extent | 505807 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | International Mathematics Research Notices | 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.contributor.institution | University of St Andrews. Pure Mathematics | en |
| dc.identifier.doi | 10.1093/imrn/rnaa207 | |
| dc.description.status | Peer reviewed | en |
| dc.date.embargoedUntil | 2021-08-25 |
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