Dwork家族的第一个锥形凹口及其镜面
First coniveau notch of the Dwork family and its mirror
摘要：
如果$X_λ$是完满域$k$上Dwork族的光滑成员，而$Y_λ$是它的镜像簇，则$X_λ$和$Y_λ$的基模等于coniveau $\geq 1$中的基模。如果$k$是一个有限域，这提供了一个动机的解释之间的$X_λ$和$Y_λ$的zeta函数万的合同。
英文摘要：
If $X_λ$ is a smooth member of the Dwork family over a perfect field $k$, and $Y_λ$ is its mirror variety, then the motives of $X_λ$ and $Y_λ$ are equal up to motives that are in coniveau $\geq 1$. If $k$ is a finite field, this provides a motivic explanation for Wan's congruence between the zeta functions of $X_λ$ and $Y_λ$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
