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 4
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.
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