Modified analytic trivialization for weighted homogeneous function-germs

被引：14

作者：

Fukui, T

Paunescu, L

机构：

[1] Saitama Univ, Fac Sci, Dept Math, Urawa, Saitama 3388570, Japan

[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2000年 / 52卷 / 02期

关键词：

modified analytic trivialization; weighted homogeneous polynomials; toric modifications;

D O I：

10.2969/jmsj/05220433

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a real analytic family of real analytic functions admits a modified analytic trivialization (MAT) via an appropriate toric modification, if their weighted initial forms define isolated singularities near zero.

引用

页码：433 / 446

页数：14

共 16 条

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