Global Euler obstruction, global Brasselet numbers and critical points

被引：2
|
作者：
Dutertre, Nicolas [1 ]
Grulha, Nivaldo G., Jr. [2 ]
机构：
[1] UNIV Angers, SFR MathStic, Lab Angevin Rech Math, LAREMA,UMR6093,CNRS, 2 Bd Lavoisier, F-49045 Angers 01, France
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp USP, Av Trabalhador Sao Carlense 400,Caixa Postal 668, BR-13560970 Sao Carlos, SP, Brazil
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2020年 / 150卷 / 05期
基金：
巴西圣保罗研究基金会;
关键词：
Euler obstruction; global Euler obstruction; constructible functions; Morsefications; MILNOR NUMBERS; INDEX FORMULA; SINGULARITIES; TOPOLOGY; CYCLES;
D O I：
10.1017/prm.2019.30
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
LetX subset of DOUBLE-STRUCK CAPITAL C(n)be an equidimensional complex algebraic set and letf:X -> DOUBLE-STRUCK CAPITAL C be a polynomial function. For eachc is an element of DOUBLE-STRUCK CAPITAL C, we define the global Brasselet number offatc, a global counterpart of the Brasselet number defined by the authors in a previous work, and the Brasselet number at infinity offatc. Then we establish several formulas relating these numbers to the topology ofXand the critical points off.
引用
收藏
页码：2503 / 2534
页数：32
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