Real Algebraic and Analytic Geometry

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207. Lev Birbrair, Alexandre Fernandes:
Metric Geometry of Complex Algebraic Surfaces with Isolated Singularities.

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Submission: 2006, August 11.

Abstract:
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 inner metric, to cones. The technique used to prove the nonexistence of the metric conic structure is related to a development of Metric Homology.

Full text, 11p.: pdf 186k.


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