Galois action on the Neron-Severi group of Dwork surfaces

Lian Duan

We study the Galois action attached to the Dwrok surfaces $X_{\lambda }:X_0^4+X_1^4+X_2^4+X_3^4-4\lambda X_0{X}_1{X}_2{X}_3=0$ with parameter $\lambda$ in a number field $F$. We show that when $X_{\lambda }$ has geome…