Reduction of the Hurwitz space of metacyclic covers

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 hypergeometric differential equation. This generalizes the result of Deligne- Rapoport on the reduction of the modular curve X(p).
25 pages, 3 figures

Keywords

Algebraic Geometry, 14H30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/63708

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204043
 http://arxiv.org/abs/math/0204043

Collections

arXiv