Algebraic geometry of hypersurfaces and lines in projective spaces and Hodge structure

利用射影空间中与某一重数的超曲面相交的线族的Hodge结构刻画了超曲面的几何性质。我们解释了三次曲面中线的几何性质与线族的Nelon-Severi格之间的关系，并计算了Nelon-Severi格的结构。证明了模空间上三次曲面族的Hodge结构所定义的周期映射的内射性。

We described geometric property of a hypersurface in a projective space by using the Hodge structure of the variety of lines which intersect the hypersurface with some multiplicity. We explained the relation between geometric property of lines in cubic surface and the Neron-Severi lattice of the variety of lines, and we computed the structure of the Neron-Severi lattice. And we showed the injectivity of the period map which is defined by the Hodge structure of variety of lines form the family of cubic surfaces over the moduli space.