Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incidences between points and lines in R^4   We show that the number of incidences between $m$ distinct points and $n$
distinct lines in ${\mathbb R}^4$ is $O\left(2^{c\sqrt{\log m}}
(m^{2/5}n^{4/5}+m) + m^{1/2}n^{1/2}q^{1/4} + m^{2/3}n^{1/3}s^{1/3} + n\right)$,
for a suitable absolute constant $c$, provided that no 2-plane contains more
than $s$ input lines, and no hyperplane or quadric contains more than $q$
lines. The bound holds without the factor $2^{c\sqrt{\log m}}$ when $m \le
n^{6/7}$ or $m \ge n^{5/3}$. Except for this factor, the bound is tight in the
worst case.

12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph