Positivity for vector bundles, and multiplier ideals

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Bergman kernels and equilibrium measures for line bundles over projective manifolds (2007, methodology): “The asymptotic (normalized) dimension of H ( X , L k ) is called the volume of a line bundle L [30]: Integrating the convergence of the Bergman kernel in the previous theoorem now gives the following version of Fujita’s approximation theorem [22], [10] (compare Remark 4.7 for a comparison with…”
Polarized endomorphisms of complex normal varieties (2009, methodology): “The geo- metric structure of the variety is described by methods of equivariant lifting and fibra- tions.”