The Ultrametric Space of Plane Branches

We study properties of the space of irreducible germs of plane curves (branches), seen as an ultrametric space. We provide various geometrical methods to measure the distance between two branches and to compare distances between branches, in terms of topological invariants of the singularity which c...

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Bibliographic Details

Published in:	Communications in algebra Vol. 39; no. 11; pp. 4206 - 4220
Main Authors:	Abío, Ignasi, Alberich-Carramiñana, Maria, González-Alonso, Víctor
Format:	Journal Article Publication
Language:	English
Published:	Taylor & Francis Group 01.11.2011
Subjects:	14 Algebraic geometry 14H Curves 32 Several complex variables and analytic spaces 32S Singularities Classificació AMS Corbes planes Curves, Plane Equisingularity class Matemàtiques i estadística Plane branch Primary 14H20 Secondary 32S05, 14C17 Singularitats (Matemàtica) Ultrametric distance Àrees temàtiques de la UPC
ISSN:	0092-7872, 1532-4125
Online Access:	Get full text
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