论文标题
$ \ mathcal a_5 $的立方三倍的模量空间的第二个基本形式
The second fundamental form of the moduli space of cubic threefolds in $\mathcal A_5$
论文作者
论文摘要
我们研究了$ \ Mathcal A_5 $中的Siegel Metric的第二种基本形式，仅限于Cubic三倍的中间Jacobians的位置。我们证明，已知是非平凡的第二个基本形式的图像包含在合适的乘法图的内核中。一些成分是：立方三倍的圆锥束结构，prym理论，高斯地图和雅各布理想。
We study the second fundamental form of the Siegel metric in $\mathcal A_5$ restricted to the locus of intermediate Jacobians of cubic threefolds. We prove that the image of this second fundamental form, which is known to be non-trivial, is contained in the kernel of a suitable multiplication map. Some ingredients are: the conic bundle structure of cubic threefolds, Prym theory, Gaussian maps and Jacobian ideals.
