L^2-Betti numbers of plane algebraic curves

Stefan Friedl; Constance Leidy; Laurentiu Maxim

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arXiv · 0704.3388

L^2-Betti numbers of plane algebraic curves

Stefan Friedl·Constance Leidy·Laurentiu Maxim

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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.

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BibTeX RIS

Stefan Friedl, Constance Leidy, Laurentiu Maxim. 2008-06-12. L^2-Betti numbers of plane algebraic curves. https://arxiv.org/abs/0704.3388

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