标题： 归纳法对有效b-半放大性 显示英文标题

标题： Inductive approach to effective b-semiampleness

摘要： 人们猜想，Prokhorov 和 Shokurov 认为在规范包公式中的模部分是有效半张量的。 在这项工作中，我们将这个猜想简化为纤维化的基空间维数为一的情况。 此外，在模部分 M 为数值平凡的情况下，我们证明存在一个整数 m，该整数仅依赖于纤维的规范覆盖的中间贝蒂数，使得 mM 与平凡丛线性等价。 显示英文摘要

摘要： It has been conjectured by Prokhorov and Shokurov that the moduli part in the canonical bundle formula is effectively b-semiample. In this work we reduce this conjecture to the case where the base of the fibration has dimension one. Moreover, in the case where the moduli part M is numerically trivial, we prove the existence of an integer m, that depends only on the middle Betti number of a canonical covering of the fibre, such that mM is linearly equivalent to the trivial bundle.