Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The arithmetic puncturing problem and integral points   In this paper, we provide evidence to support a positive answer to a question
of Hassett and Tschinkel. In particular, if an algebraic variety V has a dense
set of rational points, they ask whether or not the set of D-integral points is
potentially dense, where D is a set of codimension at least two. We give a
positive answer to this question in many cases, including varieties whose
generic linear section is a smooth rational curve, and certain K3 surfaces. We
also discuss some stronger notions of integrality of points, and give some
positive answers to some cases of the analogous question in the stronger
context.

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The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol