Locus of curves with D_n-symmetry inside M_g
arXiv:1508.04264
Abstract
The aim of this paper is to determine the irreducible components of M_g(D_n), the locus inside M_g of the curves admitting an effective action by the dihedral group D_n. This is done by classifying pairs (H,H') of distinct subgroups of the mapping class group Map_g, such that both H and H' are isomorphic to D_n and the fixed point locus of H inside the Teichmüller space T_g is contained in the fixed point locus of H'.
23 pages, 12 tables, minor changes, to be published in RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO