Real Algebraic and Analytic Geometry |

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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