be the associated holomorphic vector bundle with flat Gauss--Manin connection $\nabla$, and assume that the Hodge filtration satisfies $F^{k+1}=0$ and $F^0=\mathcal V$. For each integer $p$ with $0\le p\le k$, set
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\begin{align*}
E^p:=F^p/F^{p+1},
\end{align*}
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and equip $E^p$ with the Hermitian Hodge metric induced by the polarization $Q$ and the Weil operator.
denotes the curvature of the Chern connection of $E^p$, and wedge products of bundle-valued forms use exterior product together with composition in the displayed order, then, for every $0\le p\le k$,