JournalsprimsVol. 41, No. 3pp. 599–681

Higher Arithmetic <em>K</em>-Theory

  • Yuichiro Takeda

    Kyushu University, Fukuoka, Japan
Higher Arithmetic <em>K</em>-Theory cover
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Abstract

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. 599–681

DOI 10.2977/PRIMS/1145475225