Formal biholomorphic maps of real analytic hypersurfaces
| dc.creator | Mir, Nordine | |
| dc.date | 2000-02-28 | |
| dc.date | 2000-05-24 | |
| dc.date.accessioned | 2026-07-07T04:34:06Z | |
| dc.date.available | 2026-07-07T04:34:06Z | |
| dc.description | Let f : (M,p)\to (M',p') be a formal biholomorphic mapping between two germs of real analytic hypersurfaces in \C^n, p'=f(p). Assuming the source manifold to be minimal at p, we prove the convergence of the so-called reflection function associated to f. As a consequence, we derive the convergence of formal biholomorphisms between real analytic minimal holomorphically nondegenerate hypersurfaces. Related results on partial convergence of formal biholomorphisms are also obtained. | |
| dc.description | 15 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0002235 | |
| dc.identifier | http://arxiv.org/abs/math/0002235 | |
| dc.identifier | Math. Res. Lett., vol. 7, p. 343-359, 2000 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58775 | |
| dc.subject | Complex Variables | |
| dc.subject | 32H99, 32H40, 32V35 | |
| dc.title | Formal biholomorphic maps of real analytic hypersurfaces | |
| dc.type | text |