A characterization of Lipschitz normally embedded surface singularities

Autor:	Neumann, Walter D, Pedersen, Helge Møller, Pichon, Anne
Rok vydání:	2018
Předmět:	Mathematics - Algebraic Geometry 14805 (primary) 32S25 32S05 57M99 (secondary)
Druh dokumentu:	Working Paper
DOI:	10.1112/jlms.12279
Popis:	Any germ of a complex analytic space is equipped with two natural metrics: the outer metric induced by the hermitian metric of the ambient space and the inner metric, which is the associated riemannian metric on the germ. These two metrics are in general nonequivalent up to bilipschitz homeomorphism. We give a necessary and sufficient condition for a normal surface singularity to be Lipschitz normally embedded (LNE), i.e., to have bilipschitz equivalent outer and inner metrics. In a partner paper [15] we apply it to prove that rational surface singularities are LNE if and only if they are minimal. Comment: 30 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1806.11240 Zobrazit plný text záznamu View this record from Arxiv