Mathematics – Complex Variables
Scientific paper
2008-07-19
Mathematics
Complex Variables
No figures
Scientific paper
In this article we prove a non-vanishing statement, as well as several properties of metrics with minimal singularities of adjoint bundles. Our arguments involve many ideas from Y.-T. Siu's analytic proof of the finite generation of the canonical ring. An important technical tool is the notion of relative critical exponent of two closed positive currents with respect to a measure.
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