Every infinite type Riemann surface without planar ends admits an infinite Schottky uniformization, generalizing the classical finite Schottky retrosection theorem.
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The connectivity of cyclic-Schottky strata F(g,p;t,r,s) for p ≥ 3 is studied in the branch locus of Schottky space.
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Infinite Schottky groups and group actions on infinite type surfaces
Every infinite type Riemann surface without planar ends admits an infinite Schottky uniformization, generalizing the classical finite Schottky retrosection theorem.
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Cyclic-Schottky strata of Schottky space
The connectivity of cyclic-Schottky strata F(g,p;t,r,s) for p ≥ 3 is studied in the branch locus of Schottky space.