A parametric jet-interpolation theorem for holomorphic automorphisms of C^n
Complex Variables
2018-11-27 v2
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.
Cite
@article{arxiv.1606.04312,
title = {A parametric jet-interpolation theorem for holomorphic automorphisms of C^n},
author = {Riccardo Ugolini},
journal= {arXiv preprint arXiv:1606.04312},
year = {2018}
}
Comments
Updated version after reviewers' comments; 14 pages