The Lu Qi-Keng conjecture fails generically

Boas, Harold

doi:10.1090/S0002-9939-96-03259-5

The Lu Qi-Keng conjecture fails generically

Author: Harold P. Boas
Journal: Proc. Amer. Math. Soc. 124 (1996), 2021-2027
MSC (1991): Primary 32H10
DOI: https://doi.org/10.1090/S0002-9939-96-03259-5
MathSciNet review: 1317032
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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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