From Singularities to Graphs
Type de document :
Partie d'ouvrage
Titre :
From Singularities to Graphs
Auteur(s) :
Titre de l’ouvrage :
When form becomes substance
Éditeur :
Birkhäuser
Lieu de publication :
Cham
Date de publication :
2022-12-01
ISBN :
978-3-030-83125-7
Mot(s)-clé(s) en anglais :
Coxeter diagrams
Dual graphs
Du Val singularities
Graph manifolds
Models of surfaces
Plumbing calculus
Resolution of singularities
Singularity links
Surface singularities
Dual graphs
Du Val singularities
Graph manifolds
Models of surfaces
Plumbing calculus
Resolution of singularities
Singularity links
Surface singularities
Discipline(s) HAL :
Mathématiques [math]
Mathématiques [math]/Histoire et perspectives sur les mathématiques [math.HO]
Mathématiques [math]/Histoire et perspectives sur les mathématiques [math.HO]
Résumé en anglais : [en]
In this text I present some problems which led to the introduction of special kinds of graphs as tools for studying singular points of algebraic surfaces. I explain how such graphs were first described using words, and how ...
Lire la suite >In this text I present some problems which led to the introduction of special kinds of graphs as tools for studying singular points of algebraic surfaces. I explain how such graphs were first described using words, and how several classification problems made it necessary to draw them, leading to the elaboration of a special kind of calculus with graphs. This non-technical paper is intended to be readable both by mathematicians and philosophers or historians of mathematics.Lire moins >
Lire la suite >In this text I present some problems which led to the introduction of special kinds of graphs as tools for studying singular points of algebraic surfaces. I explain how such graphs were first described using words, and how several classification problems made it necessary to draw them, leading to the elaboration of a special kind of calculus with graphs. This non-technical paper is intended to be readable both by mathematicians and philosophers or historians of mathematics.Lire moins >
Langue :
Anglais
Audience :
Internationale
Vulgarisation :
Non
Collections :
Source :
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