L2-Betti numbers of plane algebraic curves
Abstract
In [DJL07] it was shown that if A is an affine hyperplane arrangement in Cn, then at most one of the L2-Betti numbers of its complement is non--zero. We will prove an analogous statement for complements of any algebraic curve in C2. Furthermore we also recast and extend results of [LM06] in terms of L2-Betti numbers.
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