Higher arithmetic K-theory

Yuichiro Takeda

doi:10.2977/prims/1145475225

Higher arithmetic K-theory

Yuichiro Takeda

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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
Pages (from-to)	599-681
Number of pages	83
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	41
Issue number	3
DOIs	https://doi.org/10.2977/prims/1145475225
Publication status	Published - Sept 2005

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Higher arithmetic K-theory",

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 Soul{\'e}. Products and direct images in this K-theory are discussed.",

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Higher arithmetic K-theory

Abstract

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