Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable rationality of index one Fano hypersurfaces containing a linear
  space   We prove that a very general complex hypersurface of degree $n+1$ in
$\mathbb{P}^{n+1}$ containing an $r$-plane with multiplicity $m$ is not stably
rational for $n \ge 3$, $m, r > 0$ and $n \ge m+r$. We also investigate failure
of stable rationality of a very general hypersurface of degree $n+1$ in
$\mathbb{P}^{n+1}$ admitting several isolated ordinary double points.

13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys