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Definition 5.20.119834FE8F2B0D

Definition 5.20.11.9834FE8F2B0D Given two holomorphic line bundles $L_1$, $L_2$ on $X$ and plurisubharmonic metrics $h_1$ on $L_1$ and $h_2$ on $L_2$, we define the tensor product plurisubharmonic metric $h_1\otimes h_2$ on $L_1\otimes L_2$ as follows: for each $x\in X$, define

\[ (h_1\otimes h_2)_ x=h_{1,x}\otimes h_{2,x} \]

in the sense of definition 5.20.2.

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