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English reference for the Grauert–Riemenschneider vanishing theorem

What is the best reference in English for the following theorem of Grauert–Riemenschneider: Theorem: Let $\phi:X \to Y$ be a proper bi-rational morphism of algebraic varieties o …
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vanishing theorem for Nakano k-positive vector bundles ?

Hi, The Nakano vanishing theorem for vector bundles says apparently the following: Let $X$ be a compact kähler manifold of dimension $n$, and $E$ an hermitian holomorphic vector …