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arXiv · 1109.4452

Algebraic bounds on analytic multiplier ideals

Brian Lehmann
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Abstract

Given a pseudo-effective divisor L we construct the diminished ideal of L, a "continuous" extension of the asymptotic multiplier ideal for big divisors to the pseudo-effective boundary. For most pseudo-effective divisors L the multiplier ideal of the metric of minimal singularities of L is contained in the diminished ideal. We also characterize abundant divisors using the diminished ideal, indicating that in this case the geometric and analytic information should coincide.

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Brian Lehmann. 2013-06-12. Algebraic bounds on analytic multiplier ideals. https://arxiv.org/abs/1109.4452

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