On the Milnor number of an equivariant singularity
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 \(\mu(f) \geq p - 1\).
scientific article; zbMATH DE number 1928233