Dynamics of the Segre varieties of a real submanifold in complex space

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dc.creatorBaouendi, M. S.
dc.creatorEbenfelt, P.
dc.creatorRothschild, Linda Preiss
dc.date2000-08-15
dc.date.accessioned2026-07-07T04:36:48Z
dc.date.available2026-07-07T04:36:48Z
dc.descriptionIterated Segre mappings of real analytic generic submanifolds in complex space have been an essential tool in the study of holomorphic, formal, and CR mappings between such manifolds. In this paper we present a theory of iterated Segre mappings for smooth or formal submanifolds. In particular, we characterize finite type in terms of the rank of the iterated Segre mappings. The approach given here is new, simplifies proofs, and extends results previously known for the real analytic case.
dc.description23 pages, LaTeX 2e
dc.identifierhttps://arxiv.org/abs/math/0008112
dc.identifierhttp://arxiv.org/abs/math/0008112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59734
dc.subjectComplex Variables
dc.subjectAlgebraic Geometry
dc.subject32H02
dc.titleDynamics of the Segre varieties of a real submanifold in complex space
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