A bound for the Milnor number of plane curve singularities

Autor:	Płoski, Arkadiusz
Rok vydání:	2013
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	Let $f=0$ be a plane algebraic curve of degree $d>1$ with an isolated singular point at the origin of the complex plane. We show that the Milnor number $\mu_0(f)$ is less than or equal to $(d-1)^2-\left[\frac{d}{2}\right]$, unless $f=0$ is a set of $d$ concurrent lines passing through 0. Then we characterize the curves $f=0$ for which $\mu_0(f)=(d-1)^2-\left[\frac{d}{2}\right]$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1305.5102 Zobrazit plný text záznamu View this record from Arxiv