关于拟对数格式

Pub Date : 2021-07-10 DOI:10.2969/jmsj/87348734

O. Fujino

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引用次数: 2

摘要

．准对数格式的概念最早是由Florin Ambro在他划时代的论文《准对数变体》中提出的。本文建立了准对数格式的完全一般的Reid-Fukuda型无基点定理。粗略地说，这意味着Ambro论文中所宣称的准对数方案的所有结果都是正确的。该证明是Kawamata的x方法，并借助于基本的slc-平凡振动理论。为了方便读者，我们对拟对数格式的理论作了许多评论，以便使它更容易理解。

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On quasi-log schemes

. The notion of quasi-log schemes was ﬁrst introduced by Florin Ambro in his epoch-making paper: Quasi-log varieties. In this paper, we establish the basepoint-free theorem of Reid–Fukuda type for quasi-log schemes in full generality. Roughly speaking, it means that all the results for quasi-log schemes claimed in Ambro’s paper hold true. The proof is Kawamata’s X-method with the aid of the theory of basic slc-trivial ﬁbrations. For the reader’s convenience, we make many comments on the theory of quasi-log schemes in order to make it more accessible.

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