On the Group of Automorphisms of Cyclic Covers of the Riemann Sphere

Details On the Group of Automorphisms of Cyclic Covers of the Riemann Sphere On the Group of Automorphisms of Cyclic Covers of the Riemann Sphere

2003-10-04

arxiv.org/abs/math/0310053v1

Mathematics

Algebraic Geometry

23 pages, 1 figure

Scientific paper

This note uses some recent calculations of Conder and Bujalance (on classifying finite index group extensions of Fuchsian groups with abelian quotient and torsion free kernel) in order to determine the full automorphism groups of some cylic coverings of the line (including curves of Fermat and Lefschetz type). The answer is complete for cyclic covers that branch over three points.

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