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arXiv · 0807.3109

Relative critical exponents, non-vanishing and metrics with minimal singularities

Mihai Paun
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Abstract

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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Mihai Paun. 2008-07-19. Relative critical exponents, non-vanishing and metrics with minimal singularities. https://arxiv.org/abs/0807.3109

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