Picard-Lefschetz theory for the universal coverings of complements to affine hypersurfaces (Q1361240)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Picard-Lefschetz theory for the universal coverings of complements to affine hypersurfaces |
scientific article; zbMATH DE number 1038657
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Picard-Lefschetz theory for the universal coverings of complements to affine hypersurfaces |
scientific article; zbMATH DE number 1038657 |
Statements
Picard-Lefschetz theory for the universal coverings of complements to affine hypersurfaces (English)
0 references
20 January 2000
0 references
Summary: We study the global monodromy on the middle homology group of the universal coverings of the complements to non-singular affine hypersurfaces which intersect the hyperplane at infinity transversely. This monodromy can be regarded as a deformation of the monodromy on the middle homology group of the affine hypersurfaces. We show that this representation becomes irreducible when the deformation parameter is generic.
0 references
Picard-Lefschetz theory
0 references
universal coverings
0 references
complements to non-singular affine hypersurfaces
0 references
deformation of the monodromy
0 references
0.9041141
0 references
0.9014611
0 references
0.8947962
0 references
0.88911414
0 references
0.88865674
0 references
0.8852997
0 references
