Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
GALOIS COVERINGS OF PROJECTIVE VARIETIES FOR DIHEDRAL AND SYMMETRIC GROUPS
Hiroyasu TSUCHIHASHI
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2003 Volume 57 Issue 2 Pages 411-427

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Abstract

We explicitly construct Galois coverings of the projective spaces for a certain class of finite groups containing the dihedral and the symmetric groups. Next, we show that these coverings induce all Galois coverings of projective varieties with the same covering transformation groups. As an application, we give an example of a dihedral covering of the projective plane of degree 10 ramifying along a sextic with four (2, 5) cusps.

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© 2003 by Faculty of Mathematics, Kyushu University
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