Realization of germs of holomorphic foliations by semi-complete fields in dimension 2 (Q5952885)
From MaRDI portal
scientific article; zbMATH DE number 1690527
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Realization of germs of holomorphic foliations by semi-complete fields in dimension 2 |
scientific article; zbMATH DE number 1690527 |
Statements
Realization of germs of holomorphic foliations by semi-complete fields in dimension 2 (English)
0 references
1 January 2003
0 references
This paper investigates the singularities of 2-dimensional holomorphic vector fields with two nonzero eigenvalues. It is proved that, up to an invertible factor, all these vector fields are semi-complete. And all semi-complete singularities of saddle-node type (i.e. having one vanishing eigenvalue) are classified. Some examples of semi-complete vector fields having non-isolated singularities and nonlinearizable singular foliations are given.
0 references
holomorphic vector field
0 references
singularity
0 references
semi-complete singularity of saddle-node type
0 references
germ of holomorphic foliation
0 references
0 references
