Canonical models of adjoint foliated structures on surfaces

IF 1.4 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-30 DOI:10.1112/jlms.70622

Jun Lu, Xiaohang Wu, Shi Xu

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引用次数: 0

Abstract

In this paper, we study adjoint foliated structures of the form $K_{F} + D$ on algebraic surfaces and their minimal and canonical models. We investigate the effective behavior of the linear systems $| m (K_{F} + D) |$ for sufficiently divisible $m > 0$ . As an application, we obtain an effective answer to a boundedness problem for foliated surfaces of general type posed by Hacon and Langer.

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曲面上伴随叶理结构的典型模型

本文研究了代数曲面上kf +D$ K_{\mathcal {F}}+D$形式的伴随叶状结构及其极小模型和正则模型。研究了线性系统|m(K F +D)|$ |m(K_{\mathcal {F}}+D)|$对于充分可除m >； 0的有效行为美元m> 0 $ .作为应用，我们得到了Hacon和Langer提出的一般型叶状曲面的有界性问题的有效解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.