Poincaré series of filtration associated with newton diagram and topological types of singularities

被引：0

作者：

Solomadin G.D. ^{[1
]}

机构：

[1] Moscow State University, Leninskie Gory, Moscow

来源：

Moscow University Mathematics Bulletin | 2015年 / 70卷 / 4期

基金：

俄罗斯科学基金会;

关键词：

Topological Type; Newton Diagram;

D O I：

10.3103/S0027132215040038

中图分类号：

学科分类号：

摘要：

Poincaré series of multi-index filtration on the ring of germs defined by Gusein-Zade and Ebeling for the germ of a function in terms of its Newton diagram is considered. Examples of functions of two variables are described in the paper. These examples show that Poincaré series for the germ of a function depends not only on the type of the diagram, but also on the germ of the function. © 2015, Allerton Press, Inc.

引用

页码：171 / 175

页数：4

共 39 条

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