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Schottky uniformization of real algebraic curves and an application to moduli - MaRDI portal

Schottky uniformization of real algebraic curves and an application to moduli (Q2732533)

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scientific article; zbMATH DE number 1623812
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English
Schottky uniformization of real algebraic curves and an application to moduli
scientific article; zbMATH DE number 1623812

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    22 July 2002
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    uniformization
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    symmetric Riemann surfaces
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    real algebraic curve
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    Schottky uniformization of real algebraic curves and an application to moduli (English)
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    It is shown that a nonsingular compact connected real algebraic curve can be uniformized by a real Schottky group. As an application, it is shown that the set of isomorphism classes of nonsingular compact connected real algebraic curves of genus \(g\) having real points, has a structure of a semianalytic variety.
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