On the existence of deformations without critical points (the Teissier problem for functions of two variables) (Q1392315)
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scientific article; zbMATH DE number 1179567
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of deformations without critical points (the Teissier problem for functions of two variables) |
scientific article; zbMATH DE number 1179567 |
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On the existence of deformations without critical points (the Teissier problem for functions of two variables) (English)
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11 October 1998
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The main result asserts that if \(f:(\mathbb{C}^2,0) \to(\mathbb{C},0)\) is a real analytic germ with an isolated critical point at the origin and that the zero level curve \(\{f=0\}\subset(\mathbb{C}^2,0)\) has a single real component, then there exists a real deformation \(\widetilde f\) of \(f\) without real critical points.
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Teissier problem
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Milnor number
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critical point
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