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arXiv · 2501.00470

Canonical Models of Adjoint Foliated Structures on Surfaces

Jun Lu·Xiaohang Wu·Shi Xu
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Abstract

In this paper, we study adjoint foliated structures of the form $K_{\mathcal{F}}+D$ on algebraic surfaces and their minimal and canonical models. We investigate the effective behavior of the linear systems $|m(K_{\mathcal{F}}+D)|$ 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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Jun Lu, Xiaohang Wu, Shi Xu. 2024-12-31. Canonical Models of Adjoint Foliated Structures on Surfaces. https://arxiv.org/abs/2501.00470

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