English

Rational Homology Manifolds and Hypersurface Normalizations

Algebraic Geometry 2018-08-13 v3

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.

Keywords

Cite

@article{arxiv.1804.09799,
  title  = {Rational Homology Manifolds and Hypersurface Normalizations},
  author = {Brian Hepler},
  journal= {arXiv preprint arXiv:1804.09799},
  year   = {2018}
}