Convergence and finite determination of formal CR mappings

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dc.creatorBaouendi, M. S.
dc.creatorEbenfelt, P.
dc.creatorRothschild, L. P.
dc.date1999-04-16
dc.date.accessioned2026-07-07T05:28:43Z
dc.date.available2026-07-07T05:28:43Z
dc.descriptionIt is shown that a formal mapping between two real-analytic hypersurfaces in complex space is convergent provided that neither hypersurface contains a nontrivial holomorphic variety. For higher codimensional generic submanifolds, convergence is proved e.g. under the assumption that the source is of finite type, the target does not contain a nontrivial holomorphic variety, and the mapping is finite. Finite determination (by jets of a predetermined order) of formal mappings between smooth generic submanifolds is also established.
dc.descriptionAMS-TeX (amsppt); 29 pages
dc.identifierhttps://arxiv.org/abs/math/9904085
dc.identifierhttp://arxiv.org/abs/math/9904085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78368
dc.subjectComplex Variables
dc.subject32H02
dc.titleConvergence and finite determination of formal CR mappings
dc.typetext

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