Abstract

A few examples of simply connected complex projective threefolds with trivial canonical bundle (that is, Bogomolov-Calabi-Yau manifolds) are constructed, which are elliptic fibrations over certain rational surfaces. They are obtained as embedded bundles of cubic curves in P 2 or their degenerations admitting a resolution of singularities with trivial canonical bundle. Two examples with the Euler characteristic zero and h 11 = 11 and 18 are obtained.

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