Lu Qi-Keng's problem for intersection of two complex ellipsoids

preprint2015arXivOpen access

Abstract

In this paper We investigate the Lu Qi-Keng problem for intersection of two complex ellipsoids {z∈C3 ⁣:∣z1∣2+∣z2∣q<1,∣z1∣2+∣z3∣r<1}\{z \in \mathbb{C}^3 \colon |z_1|^2 + |z_2|^q < 1, \quad |z_1|^2 + |z_3|^r < 1\}.

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