Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The geometry of Hilbert schemes of two points on projective space   In this paper, we give three bases for the cohomology groups of the Hilbert
scheme of two points on projective space. Then, we use these bases to compute
all effective and nef cones of higher codimensional cycles on the Hilbert
scheme. Next, we compute the class in one of these bases of the Chern classes
of tautological bundles coming from line bundles. Finally, we provide an
application of these results to the degrees of secant varieties of complete
intersections.

5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an