Mapping Class Groups of Trigonal Loci

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

Autoren

  • Michele Bolognesi
  • Michael Lönne

Organisationseinheiten

Externe Organisationen

  • Universite de Rennes 1
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Details

OriginalspracheEnglisch
Seiten (von - bis)417-445
Seitenumfang29
FachzeitschriftSelecta Mathematica, New Series
Jahrgang22
Ausgabenummer1
PublikationsstatusVeröffentlicht - 1 Jan. 2016

Abstract

In this paper, we study the topology of the stack $$\mathcal {T}_g$$Tg of smooth trigonal curves of genus g over the complex field. We make use of a construction by the first named author and Vistoli, which describes $$\mathcal {T}_g$$Tg as a quotient stack of the complement of the discriminant. This allows us to use techniques developed by the second named author to give presentations of the orbifold fundamental group of $$\mathcal {T}_g$$Tg, and of its substrata with prescribed Maroni invariant, and describe their relation with the mapping class group $$\mathcal {M}ap_g$$Mapg of Riemann surfaces of genus g.

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Mapping Class Groups of Trigonal Loci. / Bolognesi, Michele; Lönne, Michael.
in: Selecta Mathematica, New Series, Jahrgang 22, Nr. 1, 01.01.2016, S. 417-445.

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

Bolognesi M, Lönne M. Mapping Class Groups of Trigonal Loci. Selecta Mathematica, New Series. 2016 Jan 1;22(1):417-445. doi: 10.48550/arXiv.1403.7399, 10.1007/s00029-015-0187-9
Bolognesi, Michele ; Lönne, Michael. / Mapping Class Groups of Trigonal Loci. in: Selecta Mathematica, New Series. 2016 ; Jahrgang 22, Nr. 1. S. 417-445.
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