Abstract
The modulus space Mg of compact Riemann surfaces of genus g≥2 is a normal complex space of dimension 3g−3. In this paper we give necessary and sufficient conditions for the singular locus Sg of Mg to contain points of dimension 0, i. e. isolated singularities, and points of dimension 1. Further we give examples for Riemann surfaces representing those singular points.
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Duma, A., Radtke, W. Über die Dimension des singulären Ortes des Modulraumes Mg . Manuscripta Math 45, 147–159 (1984). https://doi.org/10.1007/BF01169771
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DOI: https://doi.org/10.1007/BF01169771