The irreducible components of the moduli space of dihedral covers of algebraic curves

authored by

Fabrizio Catanese, Michael Lönne, Fabio Perroni

Abstract

In this paper we introduce a new invariant for the action of a finite group G on a compact complex curve of genus g. With the aid of this invariant we achieve the classification of the components of the moduli space of curves with an effective action by the dihedral group Dn. This invariant has been used in the meanwhile by the authors in order to extend the genus stabilization result of Livingston and Dunfield and Thurston to the ramified case.

External Organisation(s)

University of Bayreuth
Scuola Internazionale Superiore di Studi Avanzati

Type

Article

Journal

Groups, Geometry, and Dynamics

Volume

9

Pages

1185-1229

No. of pages

45

ISSN

1661-7207

Publication date

2015

Publication status

Published

Peer reviewed

Yes

Electronic version(s)

https://doi.org/10.4171/GGD/338 (Access: Unknown)