Let $X$ be a compact Kahler manifold and $i:Y\hookrightarrow X$ a closed submanifold (or subvariety). Let $E\to Y$ be a holomorphic vector bundle on $Y$. The sheaf $i_*\mathcal{O}(E)$ on $X$ is coherent and we can resolve it a complex of holomorphic vector bundle.
I heard that we can construct this resolution using the so called Koszul complex. Is there a reference where this is explained ?