A counterexample to a conjecture of U. Pinkall (Q1208250)
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scientific article; zbMATH DE number 166190
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample to a conjecture of U. Pinkall |
scientific article; zbMATH DE number 166190 |
Statements
A counterexample to a conjecture of U. Pinkall (English)
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16 May 1993
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The authors show that for each genus \(g\) there is a smooth planar curve bounding an immersed surface of genus \(g\) which has 6 vertices only. This disproves a conjecture made by \textit{U. Pinkall} [Aequationes Math. 34, 221-230 (1987; Zbl 0635.53003)].
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vertex theorems
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immersed surface of genus \(g\)
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0.92748654
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0.9252069
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0.9241849
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0.92100745
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0.9209599
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0.9175747
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0.91729796
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