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作者:McMullen, CT
作者单位:Harvard University
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作者:Favre, C; Jonsson, M
作者单位:Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); University of Michigan System; University of Michigan
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作者:Gaboriau, D; Popa, S
作者单位:Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Ecole Normale Superieure de Lyon (ENS de LYON); University of California System; University of California Los Angeles
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作者:Mikhalkin, G
作者单位:University of Toronto; Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences
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作者:Duong, XT; Yan, L
作者单位:Macquarie University; Sun Yat Sen University
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作者:Haglund, J; Haiman, M; Loehr, N
作者单位:University of Pennsylvania; University of California System; University of California Berkeley
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作者:Marshall, DE; Rohde, S
作者单位:University of Washington; University of Washington Seattle
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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...
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作者:Atar, R; Burdzy, K
作者单位:Technion Israel Institute of Technology; University of Washington; University of Washington Seattle
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作者:Gröchenig, K; Leinert, M
作者单位:University of Connecticut; Ruprecht Karls University Heidelberg