Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A short proof of de Shalit's cup product formula   We give a short proof of a formula of de Shalit, expressing the cup product
of two vector valued one forms of the second kind on a Mumford curve in terms
of Coleman integrals and residues. The proof uses the notion of double indices
on curves and their reciprocity laws.

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ