Relative critical exponents, non-vanishing and metrics with minimal singularities
arXiv:0807.3109
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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References in corpus (5)
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Cited by in corpus (9)
- New outlook on the Minimal Model Program, II
- A thermodynamical formalism for Monge-Ampere equations, Moser-Trudinger inequalities and Kahler-Einstein metrics
- Adjoint rings are finitely generated
- Extension of sections via adjoint ideals
- Minimal models, flips and finite generation : a tribute to V.V. SHOKUROV and Y.-T. SIU
- Techniques for the Analytic Proof of the Finite Generation of the Canonical Ring
- On the extension of holomorphic sections from reduced unions of strata of divisors
- Towards finite generation of the canonical ring without the MMP
- Lecture notes on the Ein-Popa extension result