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 e K-theory are discussed.
Cite this article
Yuichiro Takeda, Higher Arithmetic <em>K</em>-Theory. Publ. Res. Inst. Math. Sci. 41 (2005), no. 3, pp. 599–681DOI 10.2977/PRIMS/1145475225