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The moduli of compact continuations of an open Riemann surface of genus one

The moduli of compact continuations of an open Riemann surface of genus one

Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis upper R comma StartSet upper A comma upper B EndSet right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>R</mml:mi> <mml:mo>,</mml:mo> <mml:mspace width="thinmathspace" /> <mml:mo fence="false" stretchy="false">{</mml:mo> <mml:mi>A</mml:mi> <mml:mo>,</mml:mo> <mml:mspace width="thinmathspace" /> <mml:mi>B</mml:mi> <mml:mo fence="false" stretchy="false">}</mml:mo> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(R,\,\{ A,\,B\} )</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a …