论文标题
双六倍的圆锥空间的亚伯-Jacobi地图
The Abel-Jacobi map of the space of conics for double sextic threefolds
论文作者
论文摘要
令$ x $为$ \ mathbb p^3 $的双重封面，沿六码$ y $分支。在本文中，我们表明，对于一般的$ x $，与标准化相关的Abel-Jacobi地图$ \ tilde f（x）$的表面$ f（x）$包含在$ x $中的曲线的曲线，这些曲线是$ y $ bitangent to $ y $的$ y $的c $ \ y $的$ y $的$ \ y $ \ y $ \ tilde f（x）$ interial jac $ interied jac $ jac $ jac nmedie jac nmedie jac ymmed jack of ymmed jac ymmed jack of ymmed jack of ymmedie j $ $ y $的。
Let $X$ be a double cover of $\mathbb P^3$ branched along a sextic surface $Y$. In this paper, we show that, for general $X$, the Abel-Jacobi map associated to the normalization $\tilde F(X)$ of the surface $F(X)$ of curves contained in $X$ which are preimages of lines bitangent to $Y$, gives an isogeny between the Albanese variety of $\tilde F(X)$ and the intermediate Jacobian of $X$.
