Proposition 7.8 [037K]

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Proposition 7.8

Let $Z$ be a compact analytic space over $K$ of pure dimension $n$ , let $\varphi:Z\rightarrow{T^{\rm an}}$ be an analytic moment map and let $\psi:T\rightarrow T^{\prime}$ be an affine homomorphism of tori. Then we have

{\rm Trop}(\psi)_{*}(({\varphi_{\rm trop}})_{*}({\rm cyc}(Z)))=((\psi\circ\varphi)_{\rm trop})_{*}({\rm cyc}(Z)).