Can i have an example of connected Reinhardt domain in $C^n$ which contains zero. But it is not complete.
Complete means: For $w= (w_1,..w_n)\in D$, if $z$ is such that $|z_j|\leq |w_j$ for all $j$ implies $z\in D$.
2026-03-28 06:07:56.1774678076
Connected Reinhardt Domain which is not complete
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Something like $\{ (z,w) \in \mathbb{C}^2 : |z| < 1, |w| < 1 \} \setminus \{ (z,w) \in \mathbb{C}^2 : 1/3 \le |z| \le 2/3, |w| \le 1/2 \}$ would work. Draw a picture in the $(|z|, |w|)$-plane to see what it looks like.