Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

723793.pdf (372.99 KB)

Document type

Article

Version

Published version

Publication date

2023-04-18

Publication license

cc by-nc (c) Martí Lahoz et al., 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/197448

Geometry of Prym semicanonical pencils and an application to cubic threefolds

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

https://doi.org/10.1002/mana.202100631

Abstract

In the moduli space $\mathcal{R}_{\mathrm{g}}$ of double étale covers of curves of a fixed genus $g$, the locus formed by covers of curves with a semicanonical pencil consists of two irreducible divisors $\mathcal{T}_g{ }^e$ and $\mathcal{T}_g^o$. We study the Prym map on these divisors, which shows significant differences between them and has a rich geometry in the cases of low genus. In particular, the analysis of $\mathcal{T}_5^o$ has enumerative consequences for lines on cubic threefolds.

Subject

Geometria algebraica, Corbes algebraiques, Varietats abelianes

Subject (English)

Algebraic geometry, Algebraic curves, Abelian varieties

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

LAHOZ VILALTA, Martí, NARANJO DEL VAL, Juan Carlos and ROJAS, Andrés. Geometry of Prym semicanonical pencils and an application to cubic threefolds. Mathematische Nachrichten. 2023. ISSN 0025-584X. [consulted: 10 of August of 2026]. Available at: https://hdl.handle.net/2445/197448

Export metadata

JSON - METS

Share record