Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sums of residues on algebraic surfaces and application to coding theory   In this paper, we study residues of differential 2-forms on a smooth
algebraic surface over an arbitrary field and give several statements about
sums of residues. Afterwards, using these results we construct
algebraic-geometric codes which are an extension to surfaces of the well-known
differential codes on curves. We also study some properties of these codes and
extend to them some known properties for codes on curves.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin