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arXiv · 1606.04312

A parametric jet-interpolation theorem for holomorphic automorphisms of C^n

Riccardo Ugolini
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Abstract

We consider the problem of interpolating a holomorphic family of nondegenerate holomorphic jets on C^n for n > 1, parametrized by points in a Stein manifold, by a holomorphic family of automorphisms of C^n. 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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Riccardo Ugolini. 2016-06-14. A parametric jet-interpolation theorem for holomorphic automorphisms of C^n. https://doi.org/10.1007/s12220-017-9778-3

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