Halphen Pencils on Weighted Fano Threefold Hypersurfaces

Details Halphen Pencils on Weighted Fano Threefold Hypersurfaces Halphen Pencils on Weighted Fano Threefold Hypersurfaces

2006-07-30

arxiv.org/abs/math/0607776v5

Mathematics

Algebraic Geometry

141 pages

Scientific paper

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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