We prove some results on the birational structure and invariants of a foliated surface $(X, \mathcal F)$ in terms of the adjoint divisor $K_{\mathcal F}+\epsilon K_X$, $0 &lt; \epsilon \ll 1$. Several applications of these ideas are considered as well.

Effective generation for foliated surfaces: Results and applications / C. Spicer, R. Svaldi. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 1435-5345. - 2023:795(2023 Feb 01), pp. 45-84. [10.1515/crelle-2022-0067]

### Effective generation for foliated surfaces: Results and applications

#### Abstract

We prove some results on the birational structure and invariants of a foliated surface $(X, \mathcal F)$ in terms of the adjoint divisor $K_{\mathcal F}+\epsilon K_X$, $0 < \epsilon \ll 1$. Several applications of these ideas are considered as well.
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Settore MAT/03 - Geometria
1-feb-2023
6-dic-2022
https://www.degruyter.com/document/doi/10.1515/crelle-2022-0067/html
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/946532