ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI
Abstract
We show in this paper that the set of irreducible components of the family of Galois coverings of \bP1\bC with Galois group isomorphic to \Dn is in bijection with the set of possible numerical types. In this special case the numerical type is the equivalence class (for automorphisms of \Dn) of the function which to each conjugacy class \sC in \Dn associates the number of branch points whose local monodromy lies in the class \sC.