A concrete definition of higher K-theory in Arakelov geometry is given. The K-theory defined in this paper is a higher extension of the arithmetic K 0-group of an arithmetic variety defined by Gillet and Soulé. Products and direct images in this K-theory are discussed.
|Number of pages||83|
|Journal||Publications of the Research Institute for Mathematical Sciences|
|Publication status||Published - Sept 2005|
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