论文标题
简要说明了光滑投射超表面的霍奇结构变化的第二种基本形式
A brief note on the second fundamental form of the variation of Hodge structure of a smooth projective hypersurface
论文作者
论文摘要
我们使用霍迪格结构的经典鉴定以及霍奇结构的无限变化的作用，通过超甲表面的jacobian理想的部分来确定光滑投射超表面的霍奇结构变化的第二个基本形式。这个简单的代数描述还意味着，在这种情况下，霍奇结构的变化满足了一组新的二阶偏微分方程。
We determine the second fundamental form of a variation of Hodge Structure of a smooth projective hypersurface using the classical identification of the Hodge structure and the action of the infinitesimal variation of Hodge structure with pieces of the Jacobian Ideal of the hypersurface. This simple algebraic description also implies that, in this case, the variation of Hodge structure satisfies a new set of second order partial differential equations.Comments are welcome!
