publication . Article . 1997

Germs of local automorphisms of real analytic CR structures and analytic dependence on the k-jets

ZAITSEV, DMITRI;
Open Access English
  • Published: 01 Jan 1997
  • Publisher: International Press
Abstract
The topic of the paper is the study of germs of local holomorphisms f between Cn and Cn ? such that f(M) #26; M? and df(TcM) = TcM? for M #26; Cn and M? #26; 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.
Subjects
acm: GeneralLiterature_REFERENCE(e.g.,dictionaries,encyclopedias,glossaries)
free text keywords: Pure & Applied Mathematics
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