论文标题
紧凑型复合物三倍的全体形射击连接
Holomorphic projective connections on compact complex threefolds
论文作者
论文摘要
我们证明，复杂的投影三倍上的全体形态投影连接要么平坦，要么是翻译不变的全态投影连接，上面是Abelian三倍。在第二种情况下，阿伯利亚品种上的通用翻译不变的溶性仿射连接在投影上并不平坦。我们还证明，简单连接的紧凑型复合物与微不足道的典型线捆绑包三倍不承认任何全体形态的投射连接。
We prove that a holomorphic projective connection on a complex projective threefold is either flat, or it is a translation invariant holomorphic projective connection on an abelian threefold. In the second case, a generic translation invariant holomorphic affine connection on the abelian variety is not projectively flat. We also prove that a simply connected compact complex threefold with trivial canonical line bundle does not admit any holomorphic projective connection.
