Elliptic structures on weighted three-dimensional Fano hypersurfaces

Details Elliptic structures on weighted three-dimensional Fano hypersurfaces Elliptic structures on weighted three-dimensional Fano hypersurfaces

2005-09-15

arxiv.org/abs/math/0509324v2

Mathematics

Algebraic Geometry

75 pages

Scientific paper

We classify birational maps into elliptic fibrations of a general quasismooth
hypersurface in $\mathbb{P}(1,a_{1},a_{2},a_{3},a_{4})$ of degree
$\sum_{i=1}^{4}a_{i}$ that has terminal singularities.

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