作者：Goncharov, AB
作者单位：Brown University; Max Planck Society
摘要：We construct an explicit regulator map from the weight n Bloch higher Chow group complex to the weight n Deligne complex of a regular projective complex algebraic variety X. We define the weight n Arakelov motivic complex as the cone of this map shifted by one. Its last cohomology group is (a version of) the Arakelov Chow group defined by H. Gillet and C. Soule. We relate the Grassmannian n-logarithms to the geometry of the symmetric space SLn(C)/SU(n). For n = 2 we recover Lobachevsky's formu...
