论文标题
三倍的曲线家庭时期
Periods of families of curves in threefolds
论文作者
论文摘要
克莱门斯（Clemens）的猜想指出，通用五分之三倍的理性曲线数量是有限的。如果是错误的，我们证明在这样的五重三倍的某些理性曲线必须消失。我们的方法基于使用霍奇结构的无限变化及其在积分和高斯 - 曼宁连接方面的重新制定的最大定理证明的概括。
Clemens' conjecture states that the the number of rational curve in a generic quintic threefold is finite. If it is false we prove that certain periods of rational curves in such a quintic threefold must vanish. Our method is based on a generalization of a proof of Max Noether's theorem using infinitesimal variation of Hodge structures and its reformulation in terms of integrals and Gauss-Manin connection.
