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Complete minimal surfaces in $$\mathbb{R}^ 3$$ with type Enneper end. (English) Zbl 0803.53006
We show that there exists a complete minimal surface immersed into $$\mathbb{R}^ 3$$ which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. Furthermore, the end of the surface is of Enneper type and its total curvature is $$-16 \pi$$.

##### MSC:
 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
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##### References:
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