Canonical Models of Adjoint Foliated Structures on Surfaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912388701224960 |
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| author | Lu, Jun Wu, Xiaohang Xu, Shi |
| author_facet | Lu, Jun Wu, Xiaohang Xu, Shi |
| contents | In this paper, we study the adjoint foliated structures of the form $K_{\mathcal{F}}+D$ on algebraic surfaces, with particular focus on their minimal and canonical models. We investigate the effective behavior of the multiple linear system $|m(K_{\mathcal{F}}+D)|$ for sufficiently divisible integers $m>0$. As an application, we provide an effective answer to a boundedness problem for foliated surfaces of general type, originally posed by Hacon and Langer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00470 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Canonical Models of Adjoint Foliated Structures on Surfaces Lu, Jun Wu, Xiaohang Xu, Shi Algebraic Geometry In this paper, we study the adjoint foliated structures of the form $K_{\mathcal{F}}+D$ on algebraic surfaces, with particular focus on their minimal and canonical models. We investigate the effective behavior of the multiple linear system $|m(K_{\mathcal{F}}+D)|$ for sufficiently divisible integers $m>0$. As an application, we provide an effective answer to a boundedness problem for foliated surfaces of general type, originally posed by Hacon and Langer. |
| title | Canonical Models of Adjoint Foliated Structures on Surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2501.00470 |