Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Birational rigidity and K-stability of Fano hypersurfaces with ordinary
  double points   Extending previous results, we prove that for $n \ge 5$ all hypersurfaces of
degree $n+1$ in ${\mathbb P}^{n+1}$ with isolated ordinary double points are
birational superrigid and K-stable, hence admit a weak K\"ahler--Einstein
metric.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas