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Higher arithmetic K-theory

Yuichiro Takeda
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Abstract

In this paper a concrete definition of higher K-theory in Arakelov geometry is given. The K-thoery defined in this paper is a higher extension of the arithmetic K_0 group of an arithmetic variety defined by Gillet and Soule. Products and direct images in this K-theory are discussed.

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Yuichiro Takeda. 2002-04-26. Higher arithmetic K-theory. https://arxiv.org/abs/math/0204321

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