Inner Metric Geometry of Complex Algebraic Surfaces with Isolated Singularities

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dc.creatorBirbrair, Lev
dc.creatorFernandes, Alexandre
dc.date2007-05-22
dc.date.accessioned2026-07-07T08:02:51Z
dc.date.available2026-07-07T08:02:51Z
dc.descriptionWe 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0705.3185
dc.identifierhttp://arxiv.org/abs/0705.3185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129366
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14P10
dc.titleInner Metric Geometry of Complex Algebraic Surfaces with Isolated Singularities
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