Curvature semipositivity of relative pluricanonical systems
Curvature semipositivity of relative pluricanonical systems
复制标题
DOI：
--
复制
发表时间：
2007-03
期刊：
影响因子：
--
通讯作者：
H. Tsuji
中科院分区：
文献类型：
--
作者：
H. Tsuji
我们证明了Narashimhan-Simha度规的曲率在只有正则奇点的任意平坦投影族上的半正性。这也意味着多正则系统的直接映象在Nakano意义下具有具有半正曲率流的自然连续厄米特结构。这是对作者预印本《规范模型的精化半正性和模(2005)》的改进。
We prove semipositivity of the curvature of the Narashimhan-Simha metric on an arbitrary flat projective family of varieties with only canonical singularities. This also implies that the direct image of pluricanonical systems have a natural continuous hermitian strucutre with semipositive curvature curvature current in the sense of Nakano. This is an improvement of the author's preprint ``Refined semipositivity and moduli of canonical models (2005)''.