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dc.contributorAlberich Carramiñana, Maria
dc.contributor.authorAbío Roig, Ignasi
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2009-03-09T17:21:12Z
dc.date.available2009-03-09T17:21:12Z
dc.date.issued2008-06
dc.identifier.urihttp://hdl.handle.net/2099.1/6541
dc.description.abstractIn this memory we follow the geometric approach of Casas’ boof [1] for studying of the singularities of plane germs of curves, which updates Enriques’ works to modern standards and reviews the modern development of the theorey from the point of view of infinitely near points. This memory has a two sided goal: on one hand, we want to acquire skills with the tools and concepts of the singularity theory and the valuative theory, both the classical ones and the more recent ones. On the other hand, we want to study in depth the different implicit concepts and notions involved in the Favre and Jonsson’s new approach, such as the ultrametric space structure of the set of irreducible germs of plane curves and the tree structure of the valuations.
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica
dc.subject.lcshSingularities (Mathematics)
dc.subject.lcshCurves, Plane.
dc.subject.otherplane curves
dc.titleClassification of plane germs: metric and valorative properties
dc.typeMaster thesis (pre-Bologna period)
dc.subject.lemacSingularitats (Matemàtica)
dc.subject.lemacCorbes planes
dc.subject.amsClassificació AMS::14 Algebraic geometry::14H Curves
dc.rights.accessOpen Access
dc.audience.educationlevelMàster
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística
dc.audience.degreeDIPLOMATURA D'ESTADÍSTICA (Pla 1996)


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