Note on convergence and orders of vanishing along curves (Q923164)
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: Note on convergence and orders of vanishing along curves |
scientific article; zbMATH DE number 4169039
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on convergence and orders of vanishing along curves |
scientific article; zbMATH DE number 4169039 |
Statements
Note on convergence and orders of vanishing along curves (English)
0 references
1990
0 references
Let X be a complex space and C a family of curves passing through a point x in X. Using a theorem due to Gabrielov, the author gives conditions under which a formal function germ at x is convergent (or, respectively, has a high order of vanishing) when this property holds along all the curves in the family C.
0 references
convergence
0 references
complex space
0 references
family of curves
0 references
formal function
0 references
order
0 references
0 references
