Parametric Jet interpolation for Stein manifolds with the Density Property
Complex Variables
2020-11-12 v1
Abstract
Given a Stein manifold with the density property, we show that under a suitable topological condition it is possible to prescribe derivatives at a finite number of points to automorphisms depending holomorphically on a Stein parameter. This is an Oka property of the manifold and is related to its holomorphic flexibility.
Cite
@article{arxiv.1901.02289,
title = {Parametric Jet interpolation for Stein manifolds with the Density Property},
author = {Alexandre Ramos-Peon and Riccardo Ugolini},
journal= {arXiv preprint arXiv:1901.02289},
year = {2020}
}