Germs of local automorphisms of real-analytic CR structures and analytic dependence on $k$-jets
| dc.creator | Zaitsev, Dmitri | |
| dc.date | 1998-01-09 | |
| dc.date.accessioned | 2026-07-07T05:23:32Z | |
| dc.date.available | 2026-07-07T05:23:32Z | |
| dc.description | The topic of the paper is the study of germs of local holomorphisms $f$ between $C^n$ and $C^{n'}$ such that $f(M)\subset M'$ and $df(T^cM)=T^cM'$ for $M\subset C^n$ and $M'\subset C^{n'}$ generic real-analytic CR submanifolds of arbitrary codimensions. It is proved that for $M$ minimal and $M'$ finitely nondegenerate, such germs depend analytically on their jets. As a corollary, an analytic structure on the set of all germs of this type is obtained. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/9801041 | |
| dc.identifier | http://arxiv.org/abs/math/9801041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76477 | |
| dc.subject | Complex Variables | |
| dc.subject | 32C16, 32D15 | |
| dc.title | Germs of local automorphisms of real-analytic CR structures and analytic dependence on $k$-jets | |
| dc.type | text |