The monodromy conjecture for meromorphic germs

Let $f=\frac{P}{Q}$ be a germ of a meromorphic function on $({\mathbb C}^{n+1},0)$, and let $Z_{\operatorname{top},f}$ denote its topological zeta function. Let $h_f$ be the monodromy transformation associated to $f$. Monodromy conjecture for meromorphic germs. If $s_0$ is a pole of $Z_{\operatorname{top},f}$, then

$$e^{2\pi i s_0}$$

is an eigenvalue of the monodromy transformation $h_f$ at some point of $P^{-1}\{0\}$ in a neighbourhood of $0$. This extends the holomorphic monodromy conjecture to meromorphic germs and is proposed in analogy with the holomorphic case; its status is not resolved by the supplied text.