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Prym-Brill-Noether loci of special curves

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DOI

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Prym-Brill-Noether loci of special curves. / Creech, Steven; Len, Yoav; Ritter, Caelan; Wu, Derek.

In: International Mathematics Research Notices, Vol. Advance Articles, 25.08.2020.

Research output: Contribution to journalArticlepeer-review

Harvard

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

APA

Creech, S., Len, Y., Ritter, C., & Wu, D. (2020). Prym-Brill-Noether loci of special curves. International Mathematics Research Notices, Advance Articles. https://doi.org/10.1093/imrn/rnaa207

Vancouver

Creech S, Len Y, Ritter C, Wu D. Prym-Brill-Noether loci of special curves. International Mathematics Research Notices. 2020 Aug 25;Advance Articles. https://doi.org/10.1093/imrn/rnaa207

Author

Creech, Steven ; Len, Yoav ; Ritter, Caelan ; Wu, Derek. / Prym-Brill-Noether loci of special curves. In: International Mathematics Research Notices. 2020 ; Vol. Advance Articles.

Bibtex - Download

@article{4ce67a14dbf344e48c36d3d9447a8b5a,
title = "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.",
author = "Steven Creech and Yoav Len and Caelan Ritter and Derek Wu",
note = "Funding: This research was conducted at the Georgia Institute of Technology with the support of RTG grant GR10004614 and REU grant GR10004803.",
year = "2020",
month = aug,
day = "25",
doi = "10.1093/imrn/rnaa207",
language = "English",
volume = "Advance Articles",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Prym-Brill-Noether loci of special curves

AU - Creech, Steven

AU - Len, Yoav

AU - Ritter, Caelan

AU - Wu, Derek

N1 - Funding: This research was conducted at the Georgia Institute of Technology with the support of RTG grant GR10004614 and REU grant GR10004803.

PY - 2020/8/25

Y1 - 2020/8/25

N2 - 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.

AB - 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.

U2 - 10.1093/imrn/rnaa207

DO - 10.1093/imrn/rnaa207

M3 - Article

VL - Advance Articles

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

ER -

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