Is there a simple example of a complex space $X$ with the following property: there is a function $f$ holomorphic on $X$ such that: (i) $f$ is not a zero divisor in the ring ${\mathcal O}(X)$ of all functions holomorphic on $X$; (ii) $f$ is a zero divisor in the local ring ${\mathcal O}_x(X)$ for some point $x\in X$?
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