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Logarithmic multicanonical systems of smooth affine surfaces of logarithmic Kodaira dimension one
- Publication Year :
- 2024
-
Abstract
- 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.<br />Comment: 16 pages, 1 figure
- Subjects :
- Mathematics - Algebraic Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2404.09208
- Document Type :
- Working Paper