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Please use this identifier to cite or link to this item: http://hdl.handle.net/2262/31977

Title: Equivalences of real submanifolds in complex space.
Author: ZAITSEV, DMITRI
Author's Homepage: http://people.tcd.ie/zaitsevd
Keywords: Pure & Applied Mathematics
Issue Date: 2001
Publisher: null
International Press
Citation: Baouendi, M. S.; Rothschild, Linda Preiss; Zaitsev, Dmitri 'Equivalences of real submanifolds in complex space' in Journal of Differential Geometry, 59, (2), 2001, pp 301 - 351
Series/Report no.: Journal of Differential Geometry
59
2
Abstract: We show that for any real-analytic submanifold M in CN there is a proper real-analytic subvariety V contained in M such that for any p ∈ M \ V , any real-analytic submanifold M′ in CN, and any p′ ∈ M′, the germs of the submanifolds M and M′ at p and p′ respectively are formally equivalent if and only if they are biholomorphically equivalent. More general results for k-equivalences are also stated and proved.
Description: PUBLISHED
URI: http://hdl.handle.net/2262/31977
ISSN: 24822
Appears in Collections:Pure & Applied Mathematics (Scholarly Publications)

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