Uniqueness and factorization of Coleff-Herrera currents
| dc.creator | Andersson, Mats | |
| dc.date | 2007-11-15 | |
| dc.date.accessioned | 2026-07-07T08:43:08Z | |
| dc.date.available | 2026-07-07T08:43:08Z | |
| dc.description | We prove a uniqueness result for Coleff-Herrera currents which in particular means that if $f=(f_1,..., f_m)$ defines a complete intersection, then the classical Coleff-Herrera product associated to $f$ is the unique Coleff-Herrera current that is cohomologous to 1 with respect to the operator $δ_f-\dbar$, where $δ_f$ is interior multiplication with $f$. From the uniqueness result we deduce that any Coleff-Herrera current on a variety $Z$ is a finite sum of products of residue currents with support on $Z$ and holomorphic forms. | |
| dc.identifier | https://arxiv.org/abs/0711.2440 | |
| dc.identifier | http://arxiv.org/abs/0711.2440 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142207 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A27 | |
| dc.title | Uniqueness and factorization of Coleff-Herrera currents | |
| dc.type | text |