Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elimination ideals and Bezout relations   Let $k$ be an infinite field and $I\subset k [x_1, \ldots ,x_n]$ be an ideal
such that dim $V(I)=q$. Denote by $(f_1, \ldots, f_s)$ a set of generators of
$I$. One can see that in the set $I\cap k [x_{1},...,x_{q+1}]$ there exist
non-zero polynomials, depending only on these $q+1$ variables. We aim to bound
the minimal degree of the polynomials of this type, and of a B\'ezout (i.e.
membership) relation expressing such a polynomial as a combination of the
$f_i$.

17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph