Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fano hypersurfaces and their birational geometry   We survey some results on the nonrationality and birational rigidity of
certain hypersurfaces of Fano type. The focus is on hypersurfaces of Fano index
one, but hypersurfaces of higher index are also discussed.

28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn