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math.CV2000
Reflection ideals and mappings between generic submanifolds in complex space
M. S. Baouendi, Nordine Mir, Linda Preiss Rothschild
In this paper, we study formal mappings between smooth generic submanifolds in multidimensional complex space and establish results on finite determination, convergence and local b…
math.CV2000
On the convergence of formal mappings
Nordine Mir
Let f : (M,p)\to (M',p') be a formal (holomorphic) nondegenerate map, i.e. with formal holomorphic Jacobian J_f not identically vanishing, between two germs of real analytic generi…
math.CV2000
Formal biholomorphic maps of real analytic hypersurfaces
Nordine Mir
Let f : (M,p)\to (M',p') be a formal biholomorphic mapping between two germs of real analytic hypersurfaces in \C^n, p'=f(p). Assuming the source manifold to be minimal at p, we pr…