Fast loops on semi-weighted homogeneous hypersurface singularities

Alexandre Fernandes

Journal of Singularities
volume 1 (2010), 85-93

Received 20 April 2010. Received in revised form 22 June 2010.

DOI: 10.5427/jsing.2010.1f

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Abstract:

We show the existence of essential fast loops on semi-weighted homogeneous hypersurface singularities with weights w_1 >= w_2>w_3. In particular we show that semi-weighted homogeneous hypersurface singularities are metrically conical only if their two lowest weights are equal.

Keywords:

bi-Lipschitz, Complex Singularity

Mathematical Subject Classification:

14B05,14J17,32S25

Author(s) information:

Alexandre Fernandes
Departamento de Matemática, Universidade Federal do Ceará
Av. Mister Hull s/n,Campus do PICI, Bloco 914,CEP
60.455-760 - Fortaleza - CE - Brasil
email: alexandre.fernandes@ufc.br