Mathematics – Geometric Topology
Scientific paper
2007-04-25
Mathematics
Geometric Topology
Final version. To be published by the Michigan Mathematical Journal. 12 pages
Scientific paper
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.
Friedl Stefan
Leidy Constance
Maxim Laurentiu
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