Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The cancellation of projective modules of rank 2 with a trivial
  determinant   We study the cancellation property of projective modules of rank $2$ with a
trivial determinant over Noetherian rings of dimension $\leq 4$. If $R$ is a
smooth affine algebra of dimension $4$ over an algebraically closed field $k$
such that $6 \in k^{\times}$, then we prove that stably free $R$-modules of
rank $2$ are free if and only if a Hermitian $K$-theory group $\tilde{V}_{SL}
(R)$ is trivial.

11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con