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 KO-group of an arithmetic variety defined by Gillet and Soule. Products and direct images in this K-theory are discussed.
机构:
Capital Normal Univ, Sch Math Sci, West 3rd Ring North Rd 105, Beijing 100048, Peoples R ChinaCapital Normal Univ, Sch Math Sci, West 3rd Ring North Rd 105, Beijing 100048, Peoples R China