Reduction and lifting of special metacyclic covers

Details Reduction and lifting of special metacyclic covers Reduction and lifting of special metacyclic covers

2001-05-07

arxiv.org/abs/math/0105052v1

Mathematics

Algebraic Geometry

22 pages, 1 figure

Scientific paper

Special covers are metacyclic covers of the projective line, with Galois group of order pm, which have a specific type of bad reduction to characteristic p. Such covers arise in the study of the arithmetic of Galois covers of the projective line with three branch points. Our results provide a classification of all special covers in terms of certain lifting data in characteristic p.

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