Deformation of the holonomy of a Lefschetz pencil (Q5951664)
From MaRDI portal
scientific article; zbMATH DE number 1686499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Deformation of the holonomy of a Lefschetz pencil |
scientific article; zbMATH DE number 1686499 |
Statements
Deformation of the holonomy of a Lefschetz pencil (English)
0 references
1 July 2003
0 references
The author considers holomorphic foliations on a complex manifold \(M\) of dimension bigger than two. For foliations given by Lefschetz pencils he proves that they have deformations equivalent to a deformation of some special foliation called horizontal and that any representation of the fundamental group of \(M\) can be realized as some deformation of the holonomy of a Lefschetz pencil.
0 references
Lefschetz pencil
0 references
projective transversal structure
0 references
perturbed holonomy
0 references
very ample line bundle
0 references
0 references
