dc.contributor.author | ZAITSEV, DMITRI | |
dc.date.accessioned | 2009-08-31T15:15:20Z | |
dc.date.available | 2009-08-31T15:15:20Z | |
dc.date.issued | 2003 | |
dc.date.submitted | 2003 | en |
dc.identifier.citation | Meylan, Francine; Mir, Nordine; Zaitsev, Dmitri 'Approximation and convergence of formal CR-mappings' International Mathematics Research Notes, 2003, (4), 2002 pp 211 - 242 | en |
dc.identifier.other | Y | |
dc.identifier.uri | http://hdl.handle.net/2262/31981 | |
dc.description | PUBLISHED | en |
dc.description.abstract | Let M ? CN be a minimal real-analytic CR-submanifold and M? ? CN?
a realalgebraic
subset through points p ? M and p? ? M?. We show that that any formal (holomorphic)
mapping f : (CN, p) ? (CN?
, p?), sending M into M?, can be approximated up to any given order
at p by a convergent map sending M into M?. If M is furthermore generic, we also show that
any such map f, that is not convergent, must send (in an appropriate sense) M into the set
E? ? M? of points of D?Angelo infinite type. Therefore, if M? does not contain any nontrivial
complex-analytic subvariety through p?, any formal map f as above is necessarily convergent. | en |
dc.description.sponsorship | The first author was partially supported by Swiss NSF Grant 2100-063464.00/1. | en |
dc.format.extent | 211 | en |
dc.format.extent | 242 | en |
dc.format.extent | 395279 bytes | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | en |
dc.publisher | Oxford University Press | en |
dc.relation.ispartofseries | International Mathematics Research Notes | en |
dc.relation.ispartofseries | 2003 | en |
dc.relation.ispartofseries | 4 | en |
dc.rights | Y | en |
dc.subject | Pure & Applied Mathematics | en |
dc.title | Approximation and convergence of formal CR-mappings | 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.rssuri | http://dx.doi.org/10.1155/S1073792803205146 | |