Canonical models of adjoint foliated structures on surfaces

Abstract In this paper, we study adjoint foliated structures of the form on algebraic surfaces and their minimal and canonical models. We investigate the effective behavior of the linear systems for sufficiently divisible . 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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Publication Details

Journal
Journal of the London Mathematical Society
Published
2026-06-30
DOI
https://doi.org/10.1112/jlms.70622
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Canonical models of adjoint foliated structures on surfaces

Jun Lu, Xu Shi, Xiaohang Wu
Journal of the London Mathematical Society
Advanced Differential Equations and Dynamical Systems
article

Canonical models of adjoint foliated structures on surfaces

Jun Lu, Xu Shi, Xiaohang Wu
article en

Abstract

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

Journal of the London Mathematical SocietyVol. 114(1)
Wuhan University of Science and Technology (CN), East China Normal University (CN), Tsinghua University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 4%
Advanced Differential Equations and Dynamical Systems
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