Relative critical exponents, non-vanishing and metrics with minimal singularities
Complex Variables
2008-07-22 v1 Algebraic Geometry
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.
Cite
@article{arxiv.0807.3109,
title = {Relative critical exponents, non-vanishing and metrics with minimal singularities},
author = {Mihai Paun},
journal= {arXiv preprint arXiv:0807.3109},
year = {2008}
}
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