About Stability of Irreducibility for Germs of Holomorphic Functions
| dc.creator | Zeng, Huayi | |
| dc.date | 2005-04-11 | |
| dc.date.accessioned | 2026-07-07T05:18:58Z | |
| dc.date.available | 2026-07-07T05:18:58Z | |
| dc.description | This survey is about irreducibility for germs of a holomorphic functions $f$. I will show that when the dimension of the domain $U$ of this holomorphic function $f$ is greater than 2, the irreducibility of germs are not necessary to be stable. That means, if the germ of $f$ at point $p$ is irreducible in the stalk of holomorphic functions at $p$, this does NOT means there exists an open neighborhood $V\subset U$ of this point $p$, such that for any point $q\in V$, the germ of $f$ at $q$ is irreducible at the stalk of holomorphic functions at $q$ | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/math/0504209 | |
| dc.identifier | http://arxiv.org/abs/math/0504209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74852 | |
| dc.subject | Complex Variables | |
| dc.title | About Stability of Irreducibility for Germs of Holomorphic Functions | |
| dc.type | text |