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The Lu Qi-Keng Conjecture Fails Generically

Harold P. Boas
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Abstract

The bounded domains of holomorphy in~$\mathbf{C}^n$ 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.

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Harold P. Boas. 1994-12-21. The Lu Qi-Keng Conjecture Fails Generically. https://arxiv.org/abs/math/9412201

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