A parametric jet-interpolation theorem for holomorphic automorphisms of Cn
Abstract
We consider the problem of interpolating a holomorphic family of nondegenerate holomorphic jets on Cn for n > 1, parametrized by points in a Stein manifold, by a holomorphic family of automorphisms of Cn. We show that under a suitable topological condition it is possible to find a solution, thereby generalizing results of Forstneric and Varolin concerning the nonparametric jet interpolation by automorphisms.
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