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Rational Homology Manifolds and Hypersurface Normalizations
- Publication Year :
- 2018
- Publisher :
- arXiv, 2018.
-
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.
- Subjects :
- Pure mathematics
Complex analytic space
Applied Mathematics
General Mathematics
Parameterized complexity
Homology (mathematics)
Mathematics::Algebraic Topology
Mathematics - Algebraic Geometry
Perverse sheaf
Hypersurface
Mathematics::Algebraic Geometry
Monodromy
Mathematics::K-Theory and Homology
32S20, 32S35, 32S40, 32S60, 32B10
FOS: Mathematics
Mathematics::Representation Theory
Algebraic Geometry (math.AG)
Constant sheaf
Homology manifold
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....b26672ae8b8d1b3ab25cfa81cb725985
- Full Text :
- https://doi.org/10.48550/arxiv.1804.09799