Boundary jets of holomorphic maps between strongly pseudoconvex domains
| dc.creator | Bracci, Filippo | |
| dc.creator | Zaitsev, Dmitri | |
| dc.date | 2006-03-01 | |
| dc.date.accessioned | 2026-07-07T07:06:24Z | |
| dc.date.available | 2026-07-07T07:06:24Z | |
| dc.description | We study jets of germs of holomorphic maps between two strongly pseudoconvex domains under the condition that the image of one domain is contained into the other and a given boundary point is (non-tangentially) mapped to a given boundary point. We completely characterize the (non-tangential) 1-jets. Moreover we give algebraic inequalities (in terms of Chern-Moser normal forms up to a certain low order) for the admissible germs with a given 1-jet. Also, we prove a rigidity result which says that there exists a germ tangent to the Identity (in some local charts) if and only if the two domains are tangent up to weighted order five. | |
| dc.identifier | https://arxiv.org/abs/math/0603011 | |
| dc.identifier | http://arxiv.org/abs/math/0603011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110011 | |
| dc.subject | Complex Variables | |
| dc.subject | Functional Analysis | |
| dc.subject | 32T15; 32A40; 58A20 | |
| dc.title | Boundary jets of holomorphic maps between strongly pseudoconvex domains | |
| dc.type | text |