D. Zaitsev

activity

19982008

most citedApproximation and convergence of formal CR-mappings

8 citations · 19 across the 7 of their papers we have counts for

collaborators

Showing 1998 · math.CVShow all

3 papers · 2 filters

math.CV1998

Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces

Dmitri Zaitsev

We prove that a germ of a holomorphic map $f$ between $C^{n}$ and $C^{n^{'}}$ sending one real-algebraic submanifold $M \subset C^{n}$ into another $M^{'} \subset C^{n^{'}}$ is algebraic provided…

math.CV1998

Domains of polyhedral type and boundary extensions of biholomorphisms

Dmitri Zaitsev

For $D$ , $D^{'}$ analytic polyhedra in $C^{n}$ , it is proven that a biholomorphic mapping $f : D \to D^{'}$ extends holomorphically to a dense boundary subset under certain condition of…

math.CV1998

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

Dmitri Zaitsev

The topic of the paper is the study of germs of local holomorphisms $f$ between $C^{n}$ and $C^{n^{'}}$ such that $f (M) \subset M^{'}$ and $df (T^{c} M) = T^{c} M^{'}$ for $M \subset C^{n}$ and $M'\subset…

Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces

Domains of polyhedral type and boundary extensions of biholomorphisms

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

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