Canonical models of adjoint foliated structures on surfaces

Jun Lu; Xiaohang Wu; Shi Xu

doi:10.1112/jlms.70622

Canonical models of adjoint foliated structures on surfaces

Jun Lu
, Xiaohang Wu
, Shi Xu^*

^*Corresponding author for this work

School of Mathematical Sciences

Wuhan University of Science and Technology
Tsinghua University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study adjoint foliated structures of the form (Formula presented.) on algebraic surfaces and their minimal and canonical models. We investigate the effective behavior of the linear systems (Formula presented.) for sufficiently divisible (Formula presented.). As an application, we obtain an effective answer to a boundedness problem for foliated surfaces of general type posed by Hacon and Langer.

Original language	English
Article number	e70622
Journal	Journal of the London Mathematical Society
Volume	114
Issue number	1
DOIs	https://doi.org/10.1112/jlms.70622
State	Published - Jul 2026

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10.1112/jlms.70622

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title = "Canonical models of adjoint foliated structures on surfaces",

abstract = "In this paper, we study adjoint foliated structures of the form (Formula presented.) on algebraic surfaces and their minimal and canonical models. We investigate the effective behavior of the linear systems (Formula presented.) for sufficiently divisible (Formula presented.). As an application, we obtain an effective answer to a boundedness problem for foliated surfaces of general type posed by Hacon and Langer.",

author = "Jun Lu and Xiaohang Wu and Shi Xu",

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AU - Xu, Shi

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AB - In this paper, we study adjoint foliated structures of the form (Formula presented.) on algebraic surfaces and their minimal and canonical models. We investigate the effective behavior of the linear systems (Formula presented.) for sufficiently divisible (Formula presented.). 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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U2 - 10.1112/jlms.70622

DO - 10.1112/jlms.70622

M3 - 文章

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JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

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Canonical models of adjoint foliated structures on surfaces

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