English

The Lu Qi-Keng Conjecture Fails Generically

Complex Variables 2009-09-25 v1

Abstract

The bounded domains of holomorphy in~Cn\mathbf{C}^n whose Bergman kernel functions are zero-free form a nowhere dense subset (with respect to a variant of the Hausdorff distance) of all bounded domains of holomorphy.

Cite

@article{arxiv.math/9412201,
  title  = {The Lu Qi-Keng Conjecture Fails Generically},
  author = {Harold P. Boas},
  journal= {arXiv preprint arXiv:math/9412201},
  year   = {2009}
}