Bloch-Beilinson conjectures for Hecke characters and Eisenstein cohomology of Picard surfaces

Jitendra Bajpai, Mattia Cavicchi

We consider certain families of Hecke characters $\ddot{I}•$ over a quadratic imaginary field $F$. According to the Bloch-Beilinson conjectures, the order of vanishing of the $L$-function…