On constructing of a minimal model of fibred algebraic varieties whose Kodaira dimension is zero

让我们考虑一个被穿孔的圆盘上的光滑阿贝尔纤维，或通过去除一个超曲面而得到的一组开放的多面体上的光滑阿贝尔纤维。这些系列是否可以在磁盘或多磁盘上扩展是很自然的问题。在80号，有人宣布我们可以在不完全证明的情况下获得这样的相对紧化。由于证明的半模糊性，有几个关于技术假设的结果。通过这一结果，我们可以摆脱这些假设，得到理想化的结果。

Let us consider a smooth abelian fibration over a punctured disk or an open set of polydisk which obtained by removing a hypersurface. It is natural question whether these families can be extended over a disk or a polydisk. On 80th, it was announced that we could obtain such a relative compactification with a incomplete proof. Since semidarkness of the proof, there are several results with technical assumptions. By this result, we may get rid of these assumptions and obtain idealistic results.