Nash multiplicities and isolated points of maximum multiplicity

被引：1

作者：

Pascual-Escudero, Beatriz ^{[1
,2
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, Fac Ciencias, E-28049 Madrid, Spain

[2] CSIC UAM UC3M UCM, Inst Ciencias Matemat, Madrid 28049, Spain

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2019年 / 223卷 / 06期

关键词：

Arc spaces; Resolution of singularities; Rees algebras; REES-ALGEBRAS; SINGULARITIES; DESINGULARIZATION; ELIMINATION; RESOLUTION;

D O I：

10.1016/j.jpaa.2018.09.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be an algebraic variety defined over a field of characteristic zero, and let xi is an element of Max mult(X) be a point in the closed subset of maximum multiplicity of X. We provide a criterion, given in terms of arcs, to determine whether xi is isolated in Max mult(X). More precisely, we use invariants of arcs derived from the Nash multiplicity sequence to characterize when xi is an isolated point in Max mult(X). (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：2598 / 2614

页数：17

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