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Möbius function of coordinate hyperplanes in complex ellipsoids

Witold Jarnicki
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Abstract

For $p_1,...,p_n>0$, let $\mathbb E=\{z\in\mathbb C^n:\sum_{j=1}^n|z_j|^{2p_j}<1\}$ be a complex ellipsoid. We present effective formulas for the generalized Möbius and Green functions $m_{\mathbb E}(A,\cdot)$, $g_{\mathbb E}(A,\cdot)$ in the case where $A:=\{z\in\mathbb E:z_1\cdot...\cdot z_k=0\}$ ($1\leq k\leq n$).

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Witold Jarnicki. 2003-06-20. Möbius function of coordinate hyperplanes in complex ellipsoids. https://arxiv.org/abs/math/0304421

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