Higher Arithmetic -Theory

  • Yuichiro Takeda

    Kyushu University, Fukuoka, Japan


A concrete definition of higher -theory in Arakelov geometry is given. The -theory defined in this paper is a higher extension of the arithmetic -group of an arithmetic variety defined by Gillet and Soulé. Products and direct images in this -theory are discussed.

Cite this article

Yuichiro Takeda, Higher Arithmetic -Theory. Publ. Res. Inst. Math. Sci. 41 (2005), no. 3, pp. 599–681

DOI 10.2977/PRIMS/1145475225