| Inner Metric Geometry of Complex Algebraic Surfaces with Isolated Singularities (2007) | |||||||||
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 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.. Comment: 12 pages | |||||||||
Publication details | |||||||||
| |||||||||