Geodesic
Singularities of 3-dimensional varieties admitting an ample effective divisor of Kodaira dimension zero
Matematičeskie zametki, Tome 59 (1996) no. 4, pp. 618-626

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For a normal threefold $X$ with an effective Cartier divisor $H$, which is a minimal model of Kodaira dimension zero, we prove that either $X$ is a generalized cone over $H$, or $X$ has quadruple singularities and $H$ is either a K3 surface, or an Enriques surface. 
@article{MZM_1996_59_4_a12,
     author = {I. A. Cheltsov},
     title = {Singularities of 3-dimensional varieties admitting an ample effective divisor of {Kodaira} dimension zero},
     journal = {Matemati\v{c}eskie zametki},
     pages = {618--626},
     publisher = {mathdoc},
     volume = {59},
     number = {4},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_4_a12/}
}
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I. A. Cheltsov. Singularities of 3-dimensional varieties admitting an ample effective divisor of Kodaira dimension zero. Matematičeskie zametki, Tome 59 (1996) no. 4, pp. 618-626. http://geodesic.mathdoc.fr/item/MZM_1996_59_4_a12/