Titre :

On the generalized Nash problem for smooth germs and adjacencies of curve singularities

Auteur(s) :

Fernández de Bobadilla, Javier [Auteur]
Ikerbasque - Basque Foundation for Science
Pe Pereira, María [Auteur]
Instituto de Ciencias Matemàticas [Madrid] [ICMAT]
Popescu-Pampu, Patrick [Auteur]
Université de Lille

Titre de la revue :

Advances in Mathematics

Pagination :

1269-1317

Éditeur :

Elsevier

Date de publication :

2017-11

ISSN :

0001-8708

Mot(s)-clé(s) en anglais :

Adjacency of singularities
Approximate roots
Arc spaces
Maximal divisorial set
Nash problem
Plane curve singularities

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

In this paper we explore the generalized Nash problem for arcs on a germ of smooth surface: given two prime divisors above its special point, to determine whether the arc space of one of them is included in the arc space ...
Lire la suite >In this paper we explore the generalized Nash problem for arcs on a germ of smooth surface: given two prime divisors above its special point, to determine whether the arc space of one of them is included in the arc space of the other one. We prove that this problem is combinatorial and we explore its relation with several notions of adjacency of plane curve singularities.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL