Higher arithmetic K-theory

Details Higher arithmetic K-theory Higher arithmetic K-theory

2002-04-26

arxiv.org/abs/math/0204321v1

Publ. Res. Inst. Math. Sci. 41 (2005), 599--681

Mathematics

Algebraic Geometry

76 pages

Scientific paper

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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