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.
Irreducibility of the space of dihedral covers of the projective line of a given numerical type
PERRONI, FABIO
2011-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
