Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L^2-Betti numbers of hypersurface complements   In \cite{DJL07} it was shown that if $\scra$ is an affine hyperplane
arrangement in $\C^n$, then at most one of the $L^2$--Betti numbers
$b_i^{(2)}(\C^n\sm \scra,\id)$ is non--zero. In this note we prove an analogous
statement for complements of complex affine hyperurfaces in general position at
infinity. Furthermore, we recast and extend to this higher-dimensional setting
results of \cite{FLM,LM06} about $L^2$--Betti numbers of plane curve
complements.

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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: adap-org