L^2-Betti numbers of plane algebraic curves
Geometric Topology
2016-05-24 v2 Algebraic Geometry
Abstract
In [DJL07] it was shown that if A is an affine hyperplane arrangement in C^n, then at most one of the L^2-Betti numbers of its complement is non--zero. We will prove an analogous statement for complements of any algebraic curve in C^2. Furthermore we also recast and extend results of [LM06] in terms of L^2-Betti numbers.
Keywords
Cite
@article{arxiv.0704.3388,
title = {L^2-Betti numbers of plane algebraic curves},
author = {Stefan Friedl and Constance Leidy and Laurentiu Maxim},
journal= {arXiv preprint arXiv:0704.3388},
year = {2016}
}
Comments
Final version. To be published by the Michigan Mathematical Journal. 12 pages