English

The Density Property for Vector Bundles

Complex Variables 2024-01-10 v2

Abstract

We prove that holomorphic vector bundles over Stein manifolds with the density property also satisfy the density property, provided that the total space is holomorphically flexible. We apply this result to provide a new class of Stein manifolds with the density property.

Keywords

Cite

@article{arxiv.2209.05763,
  title  = {The Density Property for Vector Bundles},
  author = {Riccardo Ugolini and Joerg Winkelmann},
  journal= {arXiv preprint arXiv:2209.05763},
  year   = {2024}
}

Comments

Accepted for publication in Indiana University Mathematics Journal

R2 v1 2026-06-28T01:11:17.240Z