On the Milnor number of an equivariant singularity (Q1810154)
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: On the Milnor number of an equivariant singularity |
scientific article; zbMATH DE number 1928233
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Milnor number of an equivariant singularity |
scientific article; zbMATH DE number 1928233 |
Statements
On the Milnor number of an equivariant singularity (English)
0 references
15 June 2003
0 references
Let \(f : (\mathbb{C}^n,0) \to (\mathbb{C},0)\) be a holomorphic germ being invariant under a non-trivial action of the group \(\mathbb{Z}/p\), \(p\) prime, with isolated critical point at \(0\) such that the 2--jet of \(f\) is \(0\). It is proved that the Milnor number \(\mu(f) \geq p - 1\).
0 references
isolated singularity
0 references
Milnor number
0 references
equivariant singularity
0 references
