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Title: Germs of local automorphisms of real analytic CR structures and analytic dependence on the k-jets
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Keywords: Pure & Applied Mathematics
Issue Date: 1997
Publisher: International Press
Citation: Zaitsev, Dmitri 'Germs of local automorphisms of real analytic CR structures and analytic dependence on the k-jets' in Mathematical Research Letters, 4, 1997, pp 1-20
Series/Report no.: Mathematical Research Letters
Abstract: The topic of the paper is the study of germs of local holomorphisms f between Cn and Cn ′ such that f(M)  M′ and df(TcM) = TcM′ for M  Cn and M′  Cn ′ generic real-analytic CR submanifolds of arbitrary codimensions. It is proved that for M minimal and M′ finitely nondegenerate, such germs depend analytically on their jets. As a corollary, an analytic structure on the set of all germs of this type is obtained.
Description: PUBLISHED
Appears in Collections:Pure & Applied Mathematics (Scholarly Publications)

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