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...

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Bibliographic Details
Main Author Hepler, Brian
Format Journal Article
LanguageEnglish
Published 25.04.2018
Subjects
Mathematics - Algebraic Geometry
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Summary: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.
DOI:10.48550/arxiv.1804.09799