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

256166.pdf (271.78 KB)

Document type

Article

Version

Published version

Publication date

2024-11-04

Publication license

cc-by (c) Favale, F. et al., 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/217940

Holomorphic 1-forms on some coverings of the Moduli space of curves

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

https://doi.org/10.4310/PAMQ.241105054319

Abstract

In this paper, we consider unramified coverings of the moduli space $\mathcal{M}_g$ of smooth projective complex curves of genus $g$. Under some hypothesis on the branch locus of the finite extended map to the Deligne-Mumford compactification, we prove the vanishing of the vector space of holomorphic 1 -forms on the preimage of the smooth locus of $\mathcal{M}_g$. This applies to several moduli spaces, as the moduli space of curves with 2level structures, of spin curves and of Prym curves. In particular, we obtain that there are no nontrivial holomorphic 1 -forms on the smooth open set of the Prym locus.

Subject

Corbes modulars, Geometria algebraica

Subject (English)

Modular curves, Algebraic geometry

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

FAVALE, Filippo Francesco, et al. Holomorphic 1-forms on some coverings of the Moduli space of curves. 2024. vol. 20. Vol. 5, num. 2147-2165. ISSN 1558-8599. [consulted: 8 of August of 2026]. Available at: https://hdl.handle.net/2445/217940

Export metadata

JSON - METS

Share record