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
Advances in Mathematics 212 1
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.
Please note: There is a known bug in some browsers that causes an
error when a user tries to view large pdf file within the browser window.
If you receive the message "The file is damaged and could not be
repaired", please try one of the solutions linked below based on the
browser you are using.
Items in TARA are protected by copyright, with all rights reserved, unless otherwise indicated.