发表机构
Department of Mathematics, Yonsei University; School of Mathematics, Korea Institute for Advanced Study（延世大学数学系; 韩国高等科学研究院数学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文引入耦合潜在klt元组的渐近乘性理想层与对数规范阈值，证明阈值由拟单项赋值计算，并证明大因子的双有理Zariski分解及多截面环有限生成，给出Mori dream space判据。
AI 中文摘要
我们引入了与射影klt对上的伪有效因子元组相关的渐近乘性理想层和对数规范阈值。我们证明了耦合潜在klt元组的阈值由拟单项赋值计算。对于潜在klt型簇，我们证明了每个大因子都允许具有半丰正部的双有理Zariski分解。我们还证明了大因子的多截面环的有限生成性，并给出了潜在klt型簇成为Mori dream space的判据。
英文摘要
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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