L2-Betti Numbers of Hypersurface Complements

被引：4

作者：

Maxim, Laurentiu ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2014年 / 2014卷 / 17期

基金：

美国国家科学基金会;

关键词：

ALEXANDER INVARIANTS; L(2)-COHOMOLOGY;

D O I：

10.1093/imrn/rnt093

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [2], it was shown that if A is an affine hyperplane arrangement in C-n, then at most one of the L-2-Betti numbers b(i)((2))(C-n \ A, id) is nonzero. In this note, we prove an analogous statement for complements of complex affine hypersurfaces in general position at infinity. Furthermore, we recast and extend to this higher-dimensional setting results of [6, 9] about L-2-Betti numbers of plane curve complements.

引用

页码：4665 / 4678

页数：14

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