论文标题
关于Massey产品和合理的均质品种
On Massey products and Rational homogeneous varieties
论文作者
论文摘要
我们研究了无穷小的Torelli定理之间的等效性，用于具有PICARD第一的合理均质品种中的平滑性超曲面与广义梅西产品的理论。这种等效性表明，当且仅当某些扭曲的差异形式是高表皮理想的元素时，时期图的差异在无限变形上消失。我们还证明了无限的Torelli定理在可行的可行品种中光滑的超曲面的结果。
We study the equivalence between infinitesimal Torelli theorem for smooth hypersurfaces in rational homogeneous varieties with Picard number one and the theory of generalized Massey products. This equivalence shows that the differential of the period map vanishes on an infinitesimal deformation if and only if certain twisted differential forms are elements of the Jacobian ideal of the hypersurface. We also prove an infinitesimal Torelli theorem result for smooth hypersurfaces in log parallelizable varieties.
