Deformation of generic submanifolds in a complex manifold

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dc.creatorBaouendi, M. S.
dc.creatorRothschild, L. P.
dc.creatorZaitsev, D.
dc.date2006-08-12
dc.date.accessioned2026-07-07T07:21:41Z
dc.date.available2026-07-07T07:21:41Z
dc.descriptionThis paper shows that an arbitrary generic submanifold in a complex manifold can be deformed into a 1-parameter family of generic submanifolds satisfying strong nondegeneracy conditions. The proofs use a careful analysis of the jet spaces of embeddings satisfying certain nondegeneracy properties, and also make use of the Thom transversality theorem, as well as the stratification of real-algebraic sets. Optimal results on the order of nondegeneracy are given.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0608296
dc.identifierhttp://arxiv.org/abs/math/0608296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115387
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32H35, 32V40, 58A20, 57N35
dc.titleDeformation of generic submanifolds in a complex manifold
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