Elliptic structures on weighted three-dimensional Fano hypersurfaces

Abstract

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.

75 pages