Geodesic
Elliptic structures on weighted three-dimensional Fano hypersurfaces
Izvestiya. Mathematics , Tome 71 (2007) no. 4, pp. 765-862.

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We classify birational transformations into elliptic fibrations of a general quasi-smooth hypersurface in $\mathbb P(1,a_1,a_2,a_3,a_4)$ of degree $\sum_{i=1}^4a_i$ that has terminal singularities. 
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I. A. Cheltsov. Elliptic structures on weighted three-dimensional Fano hypersurfaces. Izvestiya. Mathematics , Tome 71 (2007) no. 4, pp. 765-862. http://geodesic.mathdoc.fr/item/IM2_2007_71_4_a4/

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