On the local meromorphic extension of CR meromorphic mappings
| dc.creator | Merker, J. | |
| dc.creator | Porten, Egmont | |
| dc.date | 1999-02-05 | |
| dc.date.accessioned | 2026-07-07T05:27:48Z | |
| dc.date.available | 2026-07-07T05:27:48Z | |
| dc.description | Let $M$ be a generic CR submanifold in $\C^{m+n}$, $m= CRdim M \geq 1$,$n=codim M \geq 1$, $d=dim M = 2m+n$. A CR meromorphic mapping (in the sense of Harvey-Lawson) is a triple $(f,{\cal D}_f, [Γ_f])$, where: 1. $f: {\cal D}_f \to Y$ is a ${\cal C}^1$-smooth mapping defined over a dense open subset ${\cal D}_f$ of $M$ with values in a projective manifold $Y$; 2. The closure $Γ_f$ of its graph in $\C^{m+n} \times Y$ defines a oriented scarred ${\cal C}^1$-smooth CR manifold of CR dimension $m$ (i.e. CR outside a closed thin set) and 3. Such that $d[Γ_f]=0$ in the sense of currents. We prove in this paper that $(f,{\cal D}_f, [Γ_f])$ extends meromorphically to a wedge attached to $M$ if $M$ is everywhere minimal and ${\cal C}^ω$ (real analytic) or if $M$ is a ${\cal C}^{2,α}$ globally minimal hypersurface. | |
| dc.description | 25 pages, LaTeX. To appear in Ann. Pol. Math. 1998 | |
| dc.identifier | https://arxiv.org/abs/math/9902038 | |
| dc.identifier | http://arxiv.org/abs/math/9902038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78062 | |
| dc.subject | Complex Variables | |
| dc.title | On the local meromorphic extension of CR meromorphic mappings | |
| dc.type | text |