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Bibliographic Details
Main Author:	Kojima, Hideo
Format:	Preprint
Published:	2024
Subjects:	Algebraic Geometry
Online Access:	https://arxiv.org/abs/2404.09208
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Table of Contents:

Let $S$ be a smooth affine surface of logarithmic Kodaira dimension one and let $(V,D)$ be a pair of a smooth projective surface $V$ and a simple normal crossing divisor $D$ on $V$ such that $V \setminus \operatorname{Supp} D = S$. In this paper, we consider the logarithmic multicanonical system $|m(K_V + D)|$. We prove that, for any $m \geq 8$, $|m(K_V+D)|$ gives an $\mathbb{P}^1$-fibration form $V$ onto a smooth projective curve.