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Irreducibility of the space of dihedral covers of the projective line of a given numerical type

Catanese, Fabrizio
•
Lönne, Michael
•
PERRONI, FABIO
2011
  • journal article

Periodico
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.
DOI
10.4171/RLM/601
WOS
WOS:000295823300003
Archivio
http://hdl.handle.net/11368/2840444
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-80053359221
http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=22&iss=3&rank=3
Diritti
metadata only access
Soggetti
  • Moduli spaces of curv...

Web of Science© citazioni
21
Data di acquisizione
Mar 21, 2024
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