Inner Metric Geometry of Complex Algebraic Surfaces with Isolated Singularities

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We produce examples of complex algebraic surfaces with isolated singularities such that these singularities are not metrically conic, i.e. the germs of the surfaces near singular points are not bi-Lipschitz equivalent, with respect to the inner metric, to cones. The technique used to prove the nonexistence of the metric conic structure is related to a development of Metric Homology. The class of the examples is rather large and it includes some surfaces of Brieskorn.
12 pages

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Algebraic Geometry, Algebraic Topology, 14P10

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http://salesiana.dossiersoluciones.com/handle/123456789/129366

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.3185
 http://arxiv.org/abs/0705.3185

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arXiv