Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The total Betti number of the intersection of three real quadrics   We prove that the total Betti number of the intersection X of three quadrics
in RP^n is bounded by n(n+1). This bound improves the classical Barvinok's one
which is at least of order three in n.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph