-
作者:Buch, AS
作者单位:Aarhus University
-
作者:Abért, M; Virág, B
作者单位:University of Chicago; University of Toronto
-
作者:Borisov, LA; Chen, L; Smith, GG
作者单位:University of Wisconsin System; University of Wisconsin Madison; Columbia University; Columbia University
-
作者:E, WN; Ming, PG; Zhang, PW
作者单位:Princeton University; Princeton University; Peking University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS
-
作者:Gués, G; Métivier, G; Williams, M; Zumbrun, K
作者单位:Aix-Marseille Universite; Universite de Bordeaux; University of North Carolina; University of North Carolina Chapel Hill; Indiana University System; Indiana University Bloomington
-
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...