On the Milnor number of an equivariant singularity
type: Item
instance of: scholarly article
title: On the Milnor number of an equivariant singularity
zbMATH Open document ID: 1026.32054
DOI: 10.1023/A:1015889316559
author: S. P. Chulkov
published in: Mathematical Notes
publication date: 2003-06-15T00:00:00Z
review text: 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 \(\mu(f) \geq p - 1\).
reviewed by: Gerhard Pfister
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 32S25
Mathematics Subject Classification ID: 32S50
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 1928233
zbMATH Keywords: isolated singularity
zbMATH Keywords: Milnor number
zbMATH Keywords: equivariant singularity
MaRDI profile type: Publication
full work available at URL: a:1015889316559
OpenAlex ID: W68712304
description: scientific article; zbMATH DE number 1928233