A parametric jet-interpolation theorem for holomorphic automorphisms of C^n
arXiv:1606.04312 · doi:10.1007/s12220-017-9778-3
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.
arXiv commentUpdated version after reviewers' comments; 14 pages
References in corpus (4)
- The algebraic density property for affine toric varieties
- Holomorphic families of non-equivalent embeddings and of holomorphic group actions on affine space
- An interpolation theorem for proper holomorphic embeddings
- Oka properties of groups of holomorphic and algebraic automorphisms of complex affine space