Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher arithmetic K-theory   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.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph