论文标题
非kähler流形的霍奇结构的变化
Variation of Hodge structures for non-Kähler manifolds
论文作者
论文摘要
在本说明中，我们讨论了非kähler歧管的Hodge结构的未偏振，复杂变化。特别是，给定一个紧凑型复合歧管的全态家族，其中心纤维满足：包含$ f^{p} a^{p+q+q+1}（x）（x）（x）\ hookrightArrow a^{p+q+q+q+1}（x）（x），f^r {p} a^p+q}共同体学表明，周期图是全态和横向的。
In this note, we discuss unpolarized, complex variation of Hodge structures for non-Kähler manifolds. In particular, given a holomorphic family of compact complex manifolds whose central fiber satisfies: the inclusions $F^{p}A^{p+q+1}(X)\hookrightarrow A^{p+q+1}(X), F^{p}A^{p+q}(X)\hookrightarrow A^{p+q}(X)$ are injective in cohomology, it is shown that the period map is holomorphic and transversal.
