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Please use this identifier to cite or link to this item: http://hdl.handle.net/2262/31967

Title: Deformation of generic submanifolds in a complex manifold
Author: ZAITSEV, DMITRI
Sponsor: Science Foundation Ireland
Author's Homepage: http://people.tcd.ie/zaitsevd
Keywords: Pure & Applied Mathematics
Issue Date: 2007
Publisher: Elsevier
Citation: M.S. Baouendi, L.P. Rothschild and D. Zaitsev 'Deformation of generic submanifolds in a complex manifold' in Advances in Mathematics, 212, (1), 2007, pp 157-180
Series/Report no.: Advances in Mathematics
212
1
Abstract: 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.
Description: PUBLISHED
URI: http://dx.doi.org/10.1016/j.aim.2007.01.019
http://hdl.handle.net/2262/31967
Appears in Collections:Pure & Applied Mathematics (Scholarly Publications)

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