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

被引：1
|
作者：
Fernandez de Bobadilla, Javier [1 ,2 ]
Pe Pereira, Maria [3 ]
Popescu-Pampu, Patrick [4 ]
机构：
[1] Basque Fdn Sci, Ikerbasque, Maria Diaz de Haro 3, Bilbao 48013, Bizkaia, Spain
[2] BCAM, Mazarredo 14, E-48009 Bilbao, Basque Country, Spain
[3] UAM, Inst Ciencias Matemat ICMAT, Nicolas Cabrera 13-15,Campus Cantoblanco, Madrid 28049, Spain
[4] Univ Lille 1, UFR Maths, Batiment M2, F-59655 Villeneuve Dascq, France
来源：
ADVANCES IN MATHEMATICS | 2017年 / 320卷
基金：
欧洲研究理事会;
关键词：
Adjacency of singularities; Approximate roots; Arc spaces; Maximal divisorial set; Nash problem; Plane curve singularities; SURFACE SINGULARITIES; ARCS; MAP; FAMILIES; SPACES;
D O I：
10.1016/j.aim.2017.09.035
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：1269 / 1317
页数：49
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