Approximation by smooth curves near the tangent cone

被引：1

作者：

Mavlyutov, AR ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

JOURNAL OF ALGEBRA | 2003年 / 266卷 / 01期

关键词：

tangent cone; multiplicity of intersection; deformations of algebras;

D O I：

10.1016/S0021-8693(03)00329-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that through a point of an affine variety there always exists a smooth plane curve inside the ambient affine space, which has the multiplicity of intersection with the variety at least 3. This result has an application to the study of affine schemes. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：154 / 161

页数：8

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