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arXiv · 1804.09799

Rational Homology Manifolds and Hypersurface Normalizations

Brian Hepler
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Abstract

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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Brian Hepler. 2018-04-25. Rational Homology Manifolds and Hypersurface Normalizations. https://arxiv.org/abs/1804.09799

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