On cyclic p-gonal Riemann surfaces with several p-gonal morphisms
نویسندگان
چکیده
منابع مشابه
On automorphisms groups of cyclic p-gonal Riemann surfaces
In this work we obtain the group of conformal and anticonformal automorphisms of real cyclic p-gonal Riemann surfaces, where p ≥ 3 is a prime integer and the genus of the surfaces is at least (p − 1) + 1. We use Fuchsian and NEC groups, and cohomology of finite groups.
متن کاملSYMMETRIES OF REAL CYCLIC p-GONAL RIEMANN SURFACES
A closed Riemann surface X which can be realised as a p-sheeted covering of the Riemann sphere is called p-gonal, and such a covering is called a p-gonal morphism. A p-gonal Riemann surface is called real p-gonal if there is an anticonformal involution (symmetry) σ of X commuting with the p-gonal morphism. If the p-gonal morphism is a cyclic regular covering the Riemann surface is called real c...
متن کاملTHE FULL AUTOMORPHISM GROUP OF A CYCLIC p-GONAL SURFACE
If p is prime, a compact Riemann surface X of genus g ≥ 2 is called cyclic p-gonal if it admits a cyclic group of automorphisms Cp of order p such that the quotient space X/Cp has genus 0. If in addition Cp is not normal in the full automorphism A, then we call X a non-normal p-gonal surface. In the following we classify all non-normal p-gonal surfaces. A. Wootton University of Portland 5000 No...
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Consider the moduli space M g of Riemann surfaces of genus g ≥ 2 and its Deligne-Mumford compactification M g. We are interested in the branch locus B g for g > 2, i.e., the subset of M g consisting of surfaces with automorphisms. It is well-known that the set of hyperelliptic surfaces (the hyperelliptic locus) is connected in M g but the set of (cyclic) trigonal surfaces is not. By contrast, t...
متن کاملOn p-hyperelliptic Involutions of Riemann Surfaces
A compact Riemann surface X of genus g > 1 is said to be phyperelliptic if X admits a conformal involution ρ, called a p-hyperelliptic involution, for which X/ρ is an orbifold of genus p. Here we give a new proof of the well known fact that for g > 4p + 1, ρ is unique and central in the group of all automorphisms of X. Moreover we prove that every two p-hyperelliptic involutions commute for 3p ...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2009
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-009-9444-4