Title :

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

Author(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

Journal title :

Advances in Mathematics

Pages :

1269-1317

Publisher :

Elsevier

Publication date :

2017-11

ISSN :

0001-8708

English keyword(s) :

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

HAL domain(s) :

Mathématiques [math]

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL