Proceedings of the American Mathematical Society

The Lu Qi-Keng conjecture fails for strongly convex algebraic complete Reinhardt domains in ${\mathbb{C}}^{n}$ $(n \geq 3)$

Author(s): Nguyên Viêt Anh
Journal: Proc. Amer. Math. Soc. 128 (2000), 1729-1732.
MSC (1991): Primary 32H10
Posted: October 29, 1999
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Abstract: In this note, we give an example of a strongly convex algebraic complete Reinhardt domain which is not Lu Qi-Keng in ${\mathbb{C}}^{n}$ for any $n \geq 3.$

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 32H10

Nguyên Viêt Anh
Affiliation: Université de Provence, LATP U.M.R C.N.R.S 6632, C.M.I, 39, rue Joliot-Curie, 13453 Marseille Cedex 13, France
Email: vietanh@gyptis.univ-mrs.fr.

DOI: 10.1090/S0002-9939-99-05228-4
PII: S 0002-9939(99)05228-4
Keywords: Lu Qi-Keng conjecture, Bergman kernel
Received by editor(s): July 14, 1998
Posted: October 29, 1999
Communicated by: Steven R. Bell
Copyright of article: Copyright 2000, American Mathematical Society

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