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The classification of singly periodic minimal surfaces with genus zero and Scherk-type ends. (English) Zbl 1110.53008
Let us consider the space $$S(k)$$ of complete embedded singly periodic minimal surfaces in Euclidean 3-space which in the quotient have genus zero and $$2k$$ Scherk-type ends. Many things are already known about $$S(2)$$. Authors prove a very interesting result about $$S(k)$$ with $$k$$ greater than or equal to 3, in terms of a 1-1 correspondence between this space and a certain space of convex unitary nonspecial polygons. An excellent and original research paper.

##### MSC:
 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature 49Q05 Minimal surfaces and optimization
minimal surfaces
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##### References:
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