Möbius function of coordinate hyperplanes in complex ellipsoids

Details Möbius function of coordinate hyperplanes in complex ellipsoids Möbius function of coordinate hyperplanes in complex ellipsoids

2003-04-26

arxiv.org/abs/math/0304421v2

Proc. Amer. Math. Soc. 132 (2004), 3243-3250.

Mathematics

Complex Variables

9 pages

Scientific paper

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 M\"obius 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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