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

The topic of the paper is the study of germs of local holomorphisms $f$ between $C^n$ and $C^{n^{\mathrm{\prime }}}$ such that $f(M)\subset M^{\mathrm{\prime }}$ and $df(T^{c}M)=T^c{M}^{\mathrm{\prime }}$ for $M\subset C^n$ and $M^{\mathrm{\prime }}\subset C^{n^{\mathrm{\prime }}}$ generic real-analytic CR submanifolds of arbitrary codimensions. It is proved that for $M$ minimal and $M^{\mathrm{\prime }}$ 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.