Book Review: Positivity in algebraic geometry. I--II

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GV-sheaves, Fourier-Mukai transform, and generic vanishing (2006, methodology): “All the notions and results we refer to can be found in [La] §7.”
Unitary local systems, multiplier ideals, and polynomial periodicity of Hodge numbers (2006, methodology): “2, we are again in the situation of [La]-Proposition B.”
Analytic inversion of adjunction: L^2 extension theorems with gain (2006, background): “For more on Inversion of Adjunction, we refer the reader to the book [4] of R.”
Asymptotic cohomological functions on projective varieties (2005, methodology): “According to Fujita’s vanishing theorem ([19] Section 1.”
Restricted volumes and base loci of linear series (2006, methodology): “Since D is nef and big, we have J (X, ‖mD‖) = OX for all m ([Laz], Proposition 11.”