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The Lu Qi-Keng conjecture fails for strongly convex algebraic complete Reinhardt domains in

Authors:	Nguyê n Viê t Anh

Institution:	Université de Provence, LATP U.M.R C.N.R.S 6632, C.M.I, 39, rue Joliot-Curie, 13453 Marseille Cedex 13, France

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 $n \geq 3.$

Keywords:	Lu Qi-Keng conjecture Bergman kernel

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