Singularities of logarithmic foliations

被引：19

作者：

Cukierman, F ^{[1
]}

Soares, MG

Vainsencher, I

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

[2] UFMG, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil

来源：

COMPOSITIO MATHEMATICA | 2006年 / 142卷 / 01期

关键词：

holomorphic foliations; characteristic classes; excess intersection;

D O I：

10.1112/S0010437X05001545

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A logarithmic 1-form on CPn can be written as GRAPHICS with (F) over cap (i)=(Pi(m)(0) F-j)/F-i for some homogeneous polynomials F-i of degree d(i) and constants lambda(i) is an element of C* such that Sigma lambda(i)d(i)=0. For general F-i, lambda(i), the singularities of omega consist of a schematic union of the codimension 2 subvarieties F-i=F-j=0 together with, possibly, finitely many isolated points. This is the case when all F-i are smooth and in general position. In this situation, we give a formula which prescribes the number of isolated singularities.

引用

页码：131 / 142

页数：12