Finite jet determination of local CR automorphisms through resolution of degeneracies
| dc.creator | Lamel, Bernhard | |
| dc.creator | Mir, Nordine | |
| dc.date | 2006-09-14 | |
| dc.date.accessioned | 2026-07-07T08:30:11Z | |
| dc.date.available | 2026-07-07T08:30:11Z | |
| dc.description | Let M be a connected real-analytic hypersurface in N-dimensional complex euclidean space whose Levi form is nondegenerate at some point. We prove that for every point p in M, there exists an integer k=k(M,p) such that germs at p of local real-analytic CR automorphisms of M are uniquely determined by their k-jets (at p). To prove this result we develop a new technique that can be seen as a resolution of the degeneracies of M. This procedure consists of blowing up M near an arbitrary point p in M regardless of its minimality or nonminimality; then, thanks to the blow-up, the original problem can be reduced to an analogous one for a very special class of nonminimal hypersurfaces for which one may use known techniques to prove the finite jet determination property of its CR automorphisms. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609380 | |
| dc.identifier | http://arxiv.org/abs/math/0609380 | |
| dc.identifier | Asian J. Math., 11(2), (2007), 201--216. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138180 | |
| dc.subject | Complex Variables | |
| dc.subject | 32H02, 32H12, 32V05, 32V15, 32V20, 32V35, 32V40 | |
| dc.title | Finite jet determination of local CR automorphisms through resolution of degeneracies | |
| dc.type | text |