Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Birational rigidity of singular Fano hypersurfaces   We establish birational superrigidity for a large class of singular
projective Fano hypersurfaces of index one. In the special case of isolated
singularities, our result applies for instance to: (1) hypersurfaces with
semi-homogeneous singularities of multiplicity asymptotically bounded by twice
the square root of the dimension of the hypersurface, (2) hypersurfaces with
isolated singularities whose Tyurina numbers satisfy a similar bound, and (3)
hypersurfaces with isolated singularities whose dual variety is a hypersurface
of degree sufficiently close to the expected degree.

20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph