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Existence of algebraic minimal surfaces for an arbitrary puncture set
Authors:Katsuhiro Moriya
Affiliation:Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki, 305-8571, Japan
Abstract:
We will show that any punctured Riemann surface can be conformally immersed into a Euclidean $3$-space as a branched complete minimal surface of finite total curvature called an algebraic minimal surface.

Keywords:Minimal surface   Riemann surface   puncture set
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