Reduction of the Hurwitz space of metacyclic covers
Bouw, Irene I.
Duke Math. J., Tome 121 (2004) no. 1, p. 75-111 / Harvested from Project Euclid
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We compute the stable reduction of some Galois covers of the projective line branched at three points. These covers are constructed using Hurwitz spaces parameterizing metacyclic covers. The reduction is determined by a certain hypergeometric differential equation. This generalizes the result of Deligne and Rapoport on the reduction of the modular curve $X(p)$.
Publié le : 2004-01-15
Classification:  14H30 14G32 
@article{1072058750,
     author = {Bouw, Irene I.},
     title = {Reduction of the Hurwitz space of metacyclic covers},
     journal = {Duke Math. J.},
     volume = {121},
     number = {1},
     year = {2004},
     pages = { 75-111},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1072058750}
}

Bouw, Irene I. Reduction of the Hurwitz space of metacyclic covers. Duke Math. J., Tome 121 (2004) no. 1, pp.  75-111. http://gdmltest.u-ga.fr/item/1072058750/