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Halphen Pencils on Weighted Fano Threefold Hypersurfaces

Ivan Cheltsov·Jihun Park
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Abstract

We classify all pencils on a general weighted hypersurface in $\mathbb{P}(1,a_{1},a_{2},a_{3},a_{4})$ of degree $\sum_{i=1}^{4}a_{i}$ whose general members are surfaces of Kodaira dimension zero.

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Ivan Cheltsov, Jihun Park. 2006-11-21. Halphen Pencils on Weighted Fano Threefold Hypersurfaces. https://arxiv.org/abs/math/0607776

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