19 citations · 64 across the 13 of their papers we have counts for
15 papers · 1 filter
Unique jet determination and extension of germs of CR maps into spheres
Nordine Mir, Dmitri Zaitsev
We provide a new way of simultaneously parametrizing arbitrary local CR maps from real-analytic generic manifolds into spheres ${\mathbb S}^{2N'-1}\subset…
Algebraic approximation in CR geometry
Nordine Mir
We prove the following CR version of Artin's approximation theorem for holomorphic mappings between real-algebraic sets in complex space. Let $M\subset \C^N$ be a real-algebraic CR…
Holomorphic versus algebraic equivalence for deformations of real-algebraic CR manifolds
Bernhard Lamel, Nordine Mir
We consider (small) algebraic deformations of germs of real-algebraic CR submanifolds in complex space and study the biholomorphic equivalence problem for such deformations. We sho…
Finite jet determination of CR mappings
Bernhard Lamel, Nordine Mir
We prove the following finite jet determination result for CR mappings: Given a smooth generic submanifold M of C^N, N >= 2, which is essentially finite and of finite type at each…
Lie group structures on automorphism groups of real-analytic CR manifolds
Bernhard Lamel, Nordine Mir, Dmitri Zaitsev
Given any real-analytic CR manifold M, we provide general conditions on M guaranteeing that the group of all its global real-analytic CR automorphisms is a Lie group (in an appropr…
Finite jet determination of local CR automorphisms through resolution of degeneracies
Bernhard Lamel, Nordine Mir
Let M be a connected real-analytic hypersurface in N-dimensional complex euclidean space whose Levi form is nondegenerate at some point. We prove that for every point p in M, there…