IRREDUCIBILITY CRITERION FOR QUASI-ORDINARY POLYNOMIALS

被引：9

作者：

Assi, Abdallah ^{[1
]}

机构：

[1] Univ Angers, Math, F-49045 Angers 01, France

来源：

JOURNAL OF SINGULARITIES | 2012年 / 4卷

关键词：

D O I：

10.5427/jsing.2012.4b

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the notion of approximate roots and that of generalized Newton sets, we give a local criterion for a quasi ordinary polynomial to be irreducible. Such a criterion is useful in the study of singularities of quasi-ordinary hypersurfaces. It generalizes the criterion given by S.S. Abhyankar for algebraic plane curves.

引用

页码：23 / 34

页数：12

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