### 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 K-theory are discussed.

Original language | English |
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Pages (from-to) | 599-681 |

Number of pages | 83 |

Journal | Publications of the Research Institute for Mathematical Sciences |

Volume | 41 |

Issue number | 3 |

DOIs | |

Publication status | Published - Sep 2005 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)