Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On compactifications of affine homology 3-cells into quadric fibrations   In this paper we deal with compactifications of affine homology $3$-cells
into quadric fibrations such that the boundary divisors contain fibers. We show
that all such affine homology $3$-cells are isomorphic to the affine $3$-space
$\mathbb{A}^{3}$. Moreover, we show that all such compactifications can be
connected by explicit elementary links preserving $\mathbb{A}^{3}$ to the
projective $3$-space $\mathbb{P}^{3}$.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph