English

Holomorphic Explosions

Dynamical Systems 2022-02-08 v2 Complex Variables

Abstract

This paper concerns the problem of extending the parameter domain of holomorphic motions to include isolated boundary points, punctures of the domains. Supposing that the parameter domain has an isolated boundary point λ\lambda^*, we explore the extension properties of the holomorphic motion to λ\lambda^*.

Keywords

Cite

@article{arxiv.2001.03940,
  title  = {Holomorphic Explosions},
  author = {Aslı Deniz and Carsten Lunde Petersen},
  journal= {arXiv preprint arXiv:2001.03940},
  year   = {2022}
}

Comments

20 pages, 3 figures

R2 v1 2026-06-23T13:09:00.480Z