Lipschitz geometry of complex curves - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Singularities Année : 2014

Lipschitz geometry of complex curves

Résumé

We describe the Lipschitz geometry of complex curves. To a large part this is well known material, but we give a stronger version even of known results. In particular, we give a quick proof, without any analytic restrictions, that the outer Lipschitz geometry of a germ of a complex plane curve determines and is determined by its embedded topology. This was first proved by Pham and Teissier, but in an analytic category. We also show the embedded topology of a plane curve determines its ambient Lipschitz geometry.

Dates et versions

hal-01130555 , version 1 (11-03-2015)

Identifiants

Citer

Walter D Neumann, Anne Pichon. Lipschitz geometry of complex curves. Journal of Singularities, 2014, pp.225-234. ⟨10.5427/jsing.2014.10o⟩. ⟨hal-01130555⟩
93 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More