English

On a hyperconvex manifold without non-constant bounded holomorphic functions

Complex Variables 2018-09-24 v1 Dynamical Systems

Abstract

An example is given of a hyperconvex manifold without non-constant bounded holomorphic functions, which is realized as a domain with real-analytic Levi-flat boundary in a projective surface.

Keywords

Cite

@article{arxiv.1804.09569,
  title  = {On a hyperconvex manifold without non-constant bounded holomorphic functions},
  author = {Masanori Adachi},
  journal= {arXiv preprint arXiv:1804.09569},
  year   = {2018}
}

Comments

10 pages, final version, to appear in "Geometric Complex Analysis", Springer Proceedings in Mathematics & Statistics

R2 v1 2026-06-23T01:35:24.909Z