The space of arcs of an algebraic variety

被引：8
作者：
de Fernex, Tommaso [1 ]
机构：
[1] Univ Utah, Dept Math, Salt Lake City, UT 48112 USA
来源：
ALGEBRAIC GEOMETRY: SALT LAKE CITY 2015, PT 1 | 2018年 / 97卷
关键词：
NASH PROBLEM; SURFACE SINGULARITIES; FAMILIES; VALUATIONS; POINTS; WEDGES; GERMS; IMAGE;
D O I：
10.1090/pspum/097.1/01672
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper surveys several results on the topology of the space of arcs of an algebraic variety and the Nash problem on the arc structure of singularities.
引用
收藏
页码：169 / 197
页数：29
相关论文
共 53 条
  • [41] Nash problem for quotient surface singularities
    Pereira, Maria Pe
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2013, 87 : 177 - 203
  • [42] On Nash problem of arc
    Plénat, C
    [J]. ANNALES DE L INSTITUT FOURIER, 2005, 55 (03) : 805 - +
  • [43] Families of higher dimensional germs with bijective Nash map
    Plenat, Camille
    Popescu-Pampu, Patrick
    [J]. KODAI MATHEMATICAL JOURNAL, 2008, 31 (02) : 199 - 218
  • [44] Plénat C, 2006, B SOC MATH FR, V134, P383, DOI 10.24033/bsmf.2514
  • [45] THE NASH PROBLEM AND ITS SOLUTION: A SURVEY
    Plenat, Camille
    Spivakovsky, Mark
    [J]. JOURNAL OF SINGULARITIES, 2015, 13 : 229 - 244
  • [46] THE NASH PROBLEM OF ARCS AND THE RATIONAL DOUBLE POINT E6
    Plenat, Camille
    Spivakovsky, Mark
    [J]. KODAI MATHEMATICAL JOURNAL, 2012, 35 (01) : 173 - 213
  • [47] THE NASH PROBLEM OF ARCS AND THE RATIONAL DOUBLE POINTS Dn
    Plenat, Camille
    [J]. ANNALES DE L INSTITUT FOURIER, 2008, 58 (07) : 2249 - 2278
  • [48] A curve selection lemma in spaces of arcs and the image of the Nash map
    Reguera, AJ
    [J]. COMPOSITIO MATHEMATICA, 2006, 142 (01) : 119 - 130
  • [49] REGUERA AJ, 1995, MANUSCRIPTA MATH, V88, P321, DOI 10.1007/BF02567826
  • [50] Arcs and wedges on rational surface singularities
    Reguera, Ana J.
    [J]. JOURNAL OF ALGEBRA, 2012, 366 : 126 - 164
123456