Lu Qi-Keng's Problem

Mathematics – Complex Variables

Scientific paper

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14 pages; to appear in the Journal of the Korean Mathematical Society

Scientific paper

This expository article, intended to be accessible to students, surveys results about the presence or absence of zeroes of the Bergman kernel function of a bounded domain in C^n. Six open problems are stated. The article is based on a lecture at the third Korean several complex variables symposium held at the Global Analysis Research Center at Seoul National University in December 1998.

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