English

The Levi problem over generalized Hirzebruch manifolds

Complex Variables 2026-03-10 v1

Abstract

We review classical methods to solve the Levi problem in the presence of symmetries, established by Hirschowitz and by Grauert-Remmert-Ueda. We then illustrate these methods by solving the Levi problem in some new situations, namely generalized Hirzebruch manifolds and primary Hopf surfaces of non-diagonal type.

Cite

@article{arxiv.2603.08247,
  title  = {The Levi problem over generalized Hirzebruch manifolds},
  author = {S. Ivashkovych and C. Miebach and V. Shevchishin},
  journal= {arXiv preprint arXiv:2603.08247},
  year   = {2026}
}

Comments

8 pages

R2 v1 2026-07-01T11:10:07.805Z