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On the structure of connected components of the moduli spaces of compact Riemann surfaces

On the structure of connected components of the moduli spaces of compact Riemann surfaces

Abstract Using the Broughton’s equisymmetric stratification of the moduli space of compact Riemann surfaces of genus $$g \ge 2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>g</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> , Bartolini, Costa and Izquierdo have shown that its singular locus $$S_{g}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>S</mml:mi> <mml:mi>g</mml:mi> </mml:msub> </mml:math> is disconnected except for …