Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Birationally rigid complete intersections of high codimension   We prove that a Fano complete intersection of codimension $k$ and index 1 in
the complex projective space ${\mathbb P}^{M+k}$ for $k\geqslant 20$ and
$M\geqslant 8k\log k$ with at most multi-quadratic singularities is
birationally superrigid. The codimension of the complement to the set of
birationally superrigid complete intersections in the natural parameter space
is shown to be at least $\frac12 (M-5k)(M-6k)$. The proof is based on the
techniques of hypertangent divisors combined with the recently discovered
$4n^2$-inequality for complete intersection singularities.

23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph