Skip to content

Research at St Andrews

Tropicalization of theta characteristics, double covers, and Prym varieties

Research output: Contribution to journalArticlepeer-review

Standard

Tropicalization of theta characteristics, double covers, and Prym varieties. / Jensen, David; Len, Yoav.

In: Selecta Mathematica: New Series, Vol. 24, No. 2, 04.2018, p. 1391–1410.

Research output: Contribution to journalArticlepeer-review

Harvard

Jensen, D & Len, Y 2018, 'Tropicalization of theta characteristics, double covers, and Prym varieties', Selecta Mathematica: New Series, vol. 24, no. 2, pp. 1391–1410. https://doi.org/10.1007/s00029-017-0379-6

APA

Jensen, D., & Len, Y. (2018). Tropicalization of theta characteristics, double covers, and Prym varieties. Selecta Mathematica: New Series, 24(2), 1391–1410. https://doi.org/10.1007/s00029-017-0379-6

Vancouver

Jensen D, Len Y. Tropicalization of theta characteristics, double covers, and Prym varieties. Selecta Mathematica: New Series. 2018 Apr;24(2):1391–1410. https://doi.org/10.1007/s00029-017-0379-6

Author

Jensen, David ; Len, Yoav. / Tropicalization of theta characteristics, double covers, and Prym varieties. In: Selecta Mathematica: New Series. 2018 ; Vol. 24, No. 2. pp. 1391–1410.

Bibtex - Download

@article{1e9849e2784144b09de1270eab3e5cf6,
title = "Tropicalization of theta characteristics, double covers, and Prym varieties",
abstract = "We study the behavior of theta characteristics on an algebraic curve under the specialization map to a tropical curve. We show that each effective theta characteristic on the tropical curve is the specialization of 2g-1 even theta characteristics and 2g-1 odd theta characteristics. We then study the relationship between unramified double covers of a tropical curve and its theta characteristics, and use this to define the tropical Prym variety.",
author = "David Jensen and Yoav Len",
year = "2018",
month = apr,
doi = "10.1007/s00029-017-0379-6",
language = "English",
volume = "24",
pages = "1391–1410",
journal = "Selecta Mathematica: New Series",
issn = "1420-9020",
number = "2",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Tropicalization of theta characteristics, double covers, and Prym varieties

AU - Jensen, David

AU - Len, Yoav

PY - 2018/4

Y1 - 2018/4

N2 - We study the behavior of theta characteristics on an algebraic curve under the specialization map to a tropical curve. We show that each effective theta characteristic on the tropical curve is the specialization of 2g-1 even theta characteristics and 2g-1 odd theta characteristics. We then study the relationship between unramified double covers of a tropical curve and its theta characteristics, and use this to define the tropical Prym variety.

AB - We study the behavior of theta characteristics on an algebraic curve under the specialization map to a tropical curve. We show that each effective theta characteristic on the tropical curve is the specialization of 2g-1 even theta characteristics and 2g-1 odd theta characteristics. We then study the relationship between unramified double covers of a tropical curve and its theta characteristics, and use this to define the tropical Prym variety.

U2 - 10.1007/s00029-017-0379-6

DO - 10.1007/s00029-017-0379-6

M3 - Article

VL - 24

SP - 1391

EP - 1410

JO - Selecta Mathematica: New Series

JF - Selecta Mathematica: New Series

SN - 1420-9020

IS - 2

ER -

Related by author

  1. Prym-Brill-Noether loci of special curves

    Creech, S., Len, Y., Ritter, C. & Wu, D., 25 Aug 2020, In: International Mathematics Research Notices. Advance Articles, 41 p.

    Research output: Contribution to journalArticlepeer-review

  2. Lifting tropical self intersections

    Len, Y. & Satriano, M., Feb 2020, In: Journal of Combinatorial Theory, Series A. 170, 21 p., 105138.

    Research output: Contribution to journalArticlepeer-review

  3. Lifting tropical bitangents

    Len, Y. & Markwig, H., Jan 2020, In: Journal of Symbolic Computation. 96, p. 122-152

    Research output: Contribution to journalArticlepeer-review

  4. Projective duals to algebraic and tropical hypersurfaces

    Ilten, N. & Len, Y., Nov 2019, In: Proceedings of the London Mathematical Society. 119, 5, p. 1234-1278

    Research output: Contribution to journalArticlepeer-review

  5. Bitangents of non-smooth tropical quartics

    Lee, H. & Len, Y., 5 Jul 2018, In: Portugaliae Mathematica. 75, 1, p. 67-78

    Research output: Contribution to journalArticlepeer-review

ID: 268424499

Top