Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational Homology Manifolds and Hypersurface Normalizations   We prove a criterion for determining whether the normalization of a complex
analytic space on which the constant sheaf is perverse is a rational homology
manifold, using a perverse sheaf known as the multiple-point complex. This
perverse sheaf is naturally associated to any "parameterized space", and has
several interesting connections with the Milnor monodromy and mixed Hodge
Modules.

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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs