Higher arithmetic K-theory
Algebraic Geometry
2012-04-09 v1 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.math/0204321,
title = {Higher arithmetic K-theory},
author = {Yuichiro Takeda},
journal= {arXiv preprint arXiv:math/0204321},
year = {2012}
}
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76 pages