Deformation of generic submanifolds in a complex manifold

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This 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.
24 pages

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Complex Variables, Differential Geometry, 32H35, 32V40, 58A20, 57N35

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http://salesiana.dossiersoluciones.com/handle/123456789/115387

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608296
 http://arxiv.org/abs/math/0608296

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arXiv