Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability result for projective modules over blowup rings   Let R be an affine algebra of dimension n \geq 3 over an algebraically closed
field k. Suppose char k =0 or char k =p \geq n. Let g,f_1,...,f_r be a
R-regular sequence and A=R[f_1/g,...,f_r/g]. Let P be a projective A-module of
rank n-1 which is extended from R. Let (a,p) \in (A \op P) be a unimodular
element and Q=A\op P/(a,p)A. Then, Q is extended from R. A similar result for
affine algebras over reals are also proved.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th