GERMS OF LOCAL AUTOMORPHISMS OF REAL-ANALYTIC CR STRUCTURES AND ANALYTIC DEPENDENCE ON k-JETS
نویسندگان
چکیده
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(T cM) = T cM ′ 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.
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