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- W2980496549 abstract "In this paper we prove a result on the effective generation of pluri-canonical linear systems on foliated surfaces of general type. Fix a function $P: mathbb Z_{geq 0}to mathbb Z $, then there exists an integer $N_1>0$ such that if $(X,mathcal F)$ is a canonical or nef model of a foliation of general type with Hilbert polynomial $chi (X, mK_{mathcal F})=P(m)$ for all $min mathbb Z_{geq 0}$, then $|mK_{mathcal F}|$ defines a birational map for all $mgeq N_1$. We also prove a Grauert-Riemannschneider type vanishing theorem for foliated surfaces with canonical singularities." @default.
- W2980496549 created "2019-10-25" @default.
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- W2980496549 date "2019-10-17" @default.
- W2980496549 modified "2023-09-27" @default.
- W2980496549 title "On birational boundedness of foliated surfaces" @default.
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