Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invitation to higher local fields, Part II, section 1: Higher
  dimensional local fields and L-functions   This work describes several first steps in extending Tate-Iwasawa's analytic
method to define an L-function in higher dimensions. For generalizing this
method the author advocates the usefulness of the classical Riemann-Hecke
approach, his adelic complexes together with his generalization of Krichever's
correspondence. He analyzes dimension 1 types of functions and discusses
properties of the lattice of commensurable classes of subspaces in the adelic
space associated to a divisor on an algebraic surface.

4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol