| dc.contributor.author | ZAITSEV, DMITRI | |
| dc.date.accessioned | 2009-08-31T15:02:54Z | |
| dc.date.available | 2009-08-31T15:02:54Z | |
| dc.date.issued | 2003 | |
| dc.date.submitted | 2003 | en |
| dc.identifier.citation | Ebenfelt, P.; Lamel, B.; Zaitsev, D. 'Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case' in Geometric And Functional Analysis, 13, (3), 2003, pp 546 - 573 | en |
| dc.identifier.other | Y | |
| dc.identifier.other | Y | en |
| dc.description | PUBLISHED | en |
| dc.description.abstract | We show that germs of local real-analytic CR automorphisms of a real-analytic hypersurface
M in C2 at a point p ? M are uniquely determined by their jets of some finite order at
p if and only if M is not Levi-flat near p. This seems to be the first necessary and sufficient result
on finite jet determination and the first result of this kind in the infinite type case.
If M is of finite type at p, we prove a stronger assertion: the local real-analytic CR automorphisms
of M fixing p are analytically parametrized (and hence uniquely determined) by their 2-jets
at p. This result is optimal since the automorphisms of the unit sphere are not determined by
their 1-jets at a point of the sphere. | en |
| dc.description.sponsorship | The first author is a Royal Swedish Academy of Sciences Research Fellow supported by a grant from the Knut
and Alice Wallenberg Foundation.
0The second author is supported by the ANACOGA research network. | en |
| dc.format.extent | 546 | en |
| dc.format.extent | 573 | en |
| dc.format.extent | 343363 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en |
| dc.publisher | Geometric And Functional Analysis | en |
| dc.relation.ispartofseries | Geometric And Functional Analysis | en |
| dc.relation.ispartofseries | 13 | en |
| dc.relation.ispartofseries | 3 | en |
| dc.rights | Y | en |
| dc.subject | Pure & Applied Mathematics | en |
| dc.title | Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case. | en |
| dc.type | Journal Article | en |
| dc.type.supercollection | scholarly_publications | en |
| dc.type.supercollection | refereed_publications | en |
| dc.identifier.peoplefinderurl | http://people.tcd.ie/zaitsevd | |
| dc.identifier.rssinternalid | 24814 | |
| dc.identifier.rssuri | http://dx.doi.org/10.1007/s00039-003-0422-y | |
| dc.identifier.uri | http://hdl.handle.net/2262/31978 | |
