Higher arithmetic K-theory

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8 Citations (Scopus)


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 languageEnglish
Pages (from-to)599-681
Number of pages83
JournalPublications of the Research Institute for Mathematical Sciences
Issue number3
Publication statusPublished - Sep 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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