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Mapping class groups of trigonal loci

Title data

Bolognesi, Michele ; Lönne, Michael:
Mapping class groups of trigonal loci.
In: Selecta Mathematica. Vol. 22 (2016) Issue 1 . - pp. 417-445.
ISSN 1420-9020
DOI: https://doi.org/10.1007/s00029-015-0187-9

Abstract in another language

In this paper, we study the topology of the stack 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 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 Tg, and of its substrata with prescribed Maroni invariant, and describe their relation with the mapping class group Mapg of Riemann surfaces of genus g.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: moduli stacks of curves; trigonal curves; mapping class groups; Teichmüller spaces; braid groups; orbifold fundamental group
Subject classification: Mathematics Subject Classification Code: 14H10 32G15 14H30 14D23
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors > Professorship Algebraic Geometry - apl. Prof. Dr. Michael Lönne
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 23 Nov 2021 11:21
Last Modified: 23 Nov 2021 11:21
URI: https://eref.uni-bayreuth.de/id/eprint/67983