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arXiv · 2609.11107

Coupled Pklt Tuples and Varieties of Pklt Type

Donghyeon Kim·Dae-Won Lee
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Abstract

We introduce asymptotic multiplier ideal sheaves and log canonical thresholds associated with tuples of pseudoeffective divisors on a projective klt pair. We prove that the threshold of a coupled potentially klt tuple is computed by a quasi-monomial valuation. For varieties of potentially klt type, we prove that every big divisor admits a birational Zariski decomposition with semiample positive part. We also prove finite generation of multisection rings of big divisors and give a criterion for a variety of potentially klt type to be a Mori dream space.

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Donghyeon Kim, Dae-Won Lee. 2026-09-10. Coupled Pklt Tuples and Varieties of Pklt Type. https://arxiv.org/abs/2609.11107

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