Fast loops on semi-weighted homogeneous hypersurface singularities

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We show the existence of ($1+\frac{w_2}{w_3}$)-fast loops on semi-weighted
homogeneous hypersurface singularities with weights $w_1\geq w_2>w_3$. In
particular we show that semi-weighted homogeneous hypersurface singularities
have metrical conical structure only if its two low weights are equal.

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