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Separating sets on semi-weighted homogeneous hypersurface singularities - MaRDI portal

Separating sets on semi-weighted homogeneous hypersurface singularities (Q1758364)

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scientific article; zbMATH DE number 6104284
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Separating sets on semi-weighted homogeneous hypersurface singularities
scientific article; zbMATH DE number 6104284

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    Separating sets on semi-weighted homogeneous hypersurface singularities (English)
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    9 November 2012
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    In [Sel. Math., New Ser. 16, No. 3, 377-391 (2010; Zbl 1200.14010)] \textit{L. Birbrair, W. D. Neumann} and the author showed that a quasihomogeneous surface singularity in \((\mathbb{C}^3,0)\) has a (real) separating set if the hyperplane section of the variable of lowest weight has more than one branch at the origin, and is therefore not metrically conical. In the present paper this result is extended to semi-quasihomogeneous functions.
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    bi-Lipschitz geometry
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    surface singularity
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