Let Y be a smooth, connected, projective complex curve of genus > = 0. Biggers and Fried proved the irreducibility of the Hurwitz spaces which parametrize coverings of whose monodromy group is a Weyl of type . Here we prove the irreducibility of Hurwitz spaces that parametrize coverings of Y with monodromy group a Weyl group of type .
Rivestimenti di con gruppo di monodromia un gruppo di Weyl di tipo sono stati studiati da Biggers e Fried che hanno provato l'irriducibilità dei corrispondenti spazi di Hurwitz. In questo articolo viene dimostrata l'irriducibilità degli spazi di Hurwitz che parametrizzano rivestimenti di una curva proiettiva complessa, connessa, non singolare di genere > = 0, il cui gruppo di monodromia è un gruppo di Weyl di tipo .
@article{BUMI_2007_8_10B_2_405_0,
author = {Francesca Vetro},
title = {Irreducibility of Hurwitz Spaces of Coverings with Monodromy Groups Weyl Groups of Type $W(B\_d)$},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {10-A},
year = {2007},
pages = {405-431},
zbl = {1178.14029},
mrnumber = {2339450},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_2_405_0}
}
Vetro, Francesca. Irreducibility of Hurwitz Spaces of Coverings with Monodromy Groups Weyl Groups of Type $W(B_d)$. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 405-431. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_2_405_0/
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