Conformal Versus Topological Conjugacy of Automorphisms on Compact Riemann Surfaces |
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Authors: | Gonzalez-diez Gabino; Hidalgo Ruben A |
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Institution: | Departamento de Matemáticas, Universidad Autónoma de Madrid 28049 Madrid, Spain
Departamento de Matemáticas, Universidad Técnica Federico Santa María Casilla 110-V, Valparaiso, Chile |
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Abstract: | We produce a family of algebraic curves (closed Riemann surfaces)S admitting two cyclic groups H1 and H2 of conformal automorphisms,which are topologically (but not conformally) conjugate andsuch that S/Hi is the Riemann sphere . The relevance of thisexample is that it shows that the subvarieties of moduli spaceconsisting of points parametrizing curves which occur as cycliccoverings (of a fixed topological type) of need not be normal.1991 Mathematics Subject Classification 14H10, 30F10. |
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