论文标题
Bogomolov-Beauville-yau分解用于KLT投影品种,具有琐碎的第一班级 - 没有泪水 -
The Bogomolov-Beauville-Yau Decomposition for Klt Projective Varieties with Trivial First Chern Class -Without Tears-
论文作者
论文摘要
我们为分解定理提供了简化的证明(以零特征为零),用于具有KLT奇异性和数值琐碎的规范束的复杂射击品种。证据以许多作者获得的先前证据的大多数部分结果为基本的方式,但避免了S. druel的积极特征。在某种程度上,单一的新贡献是代数性和双形性分裂结果,用于局部具有无塑形载体场的纤维局部纤维纤维。我们首先在易于平滑的情况下给出证明,遵循与一般情况相同的步骤,接下来对待。
We give a simplified proof (in characteristic zero) of the decomposition theorem for complex projective varieties with klt singularities and numerically trivial canonical bundle. The proof rests in an essential way on most of the partial results of the previous proof obtained by many authors, but avoids those in positive characteristic by S. Druel. The single to some extent new contribution is an algebraicity and bimeromorphic splitting result for generically locally trivial fibrations with fibres without holomorphic vector fields. We give first the proof in the easier smooth case, following the same steps as in the general case, treated next.