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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Filippo Francesco Favale
  • Juan Carlos Naranjo
  • Gian Pietro Pirola
  • Sara Torelli

Organisationseinheiten

Externe Organisationen

  • Università degli Studi di Milano-Bicocca (UNIMIB)
  • Universitat de Barcelona (UB)
  • Centre de Recerca Matemàtica
  • Università degli Studi di Pavia
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Details

OriginalspracheEnglisch
Seiten (von - bis)2147-2165
Seitenumfang19
FachzeitschriftPure and Applied Mathematics Quarterly
Jahrgang20
Ausgabenummer5
PublikationsstatusVeröffentlicht - 4 Nov. 2024

Abstract

In this paper, we consider unramified coverings of the moduli space Mg 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 Mg. This applies to several moduli spaces, as the moduli space of curves with 2-level 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. a/iQDPrwdR9b6Ou2pH/ib1KPMMoRqQJXm.

ASJC Scopus Sachgebiete

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Holomorphic 1-forms on some coverings of the moduli space of curves. / Favale, Filippo Francesco; Naranjo, Juan Carlos; Pirola, Gian Pietro et al.
in: Pure and Applied Mathematics Quarterly, Jahrgang 20, Nr. 5, 04.11.2024, S. 2147-2165.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Favale FF, Naranjo JC, Pirola GP, Torelli S. Holomorphic 1-forms on some coverings of the moduli space of curves. Pure and Applied Mathematics Quarterly. 2024 Nov 4;20(5):2147-2165. doi: 10.48550/arXiv.2210.0712, 10.4310/PAMQ.241105054319
Favale, Filippo Francesco ; Naranjo, Juan Carlos ; Pirola, Gian Pietro et al. / Holomorphic 1-forms on some coverings of the moduli space of curves. in: Pure and Applied Mathematics Quarterly. 2024 ; Jahrgang 20, Nr. 5. S. 2147-2165.
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