Higher arithmetic K-theory

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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 K-theory are discussed.

Original languageEnglish
Pages (from-to)599-681
Number of pages83
JournalPublications of the Research Institute for Mathematical Sciences
Volume41
Issue number3
DOIs
Publication statusPublished - Sep 2005

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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