Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Norm hypergraphs   We introduce a high uniformity generalization of the so-called (projective)
norm graphs of Alon, Koll\'ar, R\'onyai, and Szab\'o, and use it to show that
$$\operatorname{ex}_{d}(n,K_{s_{1},\ldots,s_{d}}^{(d)}) = \Theta\left(n^{d -
\frac{1}{s_{1}\ldots s_{d-1}}}\right)$$ holds for all integers
$s_{1},\ldots,s_{d} \geq 2$ such that $s_{d} \geq \left((d-1)(s_{1}\ldots
s_{d-1}-1)\right)!+1$. This improves upon a recent result of Ma, Yuan and
Zhang, and thus settles (many) new cases of a conjecture of Mubayi.

14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex