The Lu Qi-Keng conjecture fails generically

Author:

Boas Harold

Abstract

The bounded domains of holomorphy in  C n \mathbb {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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

1. Counterexample to the Lu Qi-Keng conjecture;Boas, Harold P.;Proc. Amer. Math. Soc.,1986

2. Equivalence of regularity for the Bergman projection and the \overline∂-Neumann operator;Boas, Harold P.;Manuscripta Math.,1990

3. Topological characterization of Stein manifolds of dimension >2;Eliashberg, Yakov;Internat. J. Math.,1990

4. Runge exhaustions of domains in 𝐶ⁿ;Fornæss, John E.;Math. Z.,1987

5. Spreading polydiscs on complex manifolds;Fornaess, John Erik;Amer. J. Math.,1977

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