Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aleksandrov projection problem for convex lattice sets   Let $K$ and $L$ be origin-symmetric convex integer polytopes in
$\mathbb{R}^n$. We study a discrete analogue of the Aleksandrov projection
problem. If for every $u\in \mathbb{Z}^n$, the sets $(K\cap
\mathbb{Z}^n)|u^\perp$ and $(L\cap \mathbb{Z}^n)|u^\perp$ have the same number
of points, is then $K=L$? We give a positive answer to this problem in
$\mathbb{Z}^2$ under an additional hypothesis that $(2K\cap
\mathbb{Z}^2)|u^\perp$ and $(2L\cap \mathbb{Z}^2)|u^\perp$ have the same number
of points.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org