Abstract

This paper is devoted to the study of the flrst higher Abel-Jacobi invariant deflned by M. Green in [4] for zero-cycles on a surface. Green’s work is a very original attempt to understand, at least over , the graded pieces of the conjecturally deflned flltration on Chow groups CH p (X) = F 0 CH p (X) ae F 1 CH p (X) =C H p (X) hom ae :::ae F p+1 CH p (X) =0 :

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