Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A perturbed differential resultant based implicitization algorithm for
  linear DPPEs   Let $\bbK$ be an ordinary differential field with derivation $\partial$. Let
$\cP$ be a system of $n$ linear differential polynomial parametric equations in
$n-1$ differential parameters with implicit ideal $\id$. Given a nonzero linear
differential polynomial $A$ in $\id$ we give necessary and sufficient
conditions on $A$ for $\cP$ to be $n-1$ dimensional. We prove the existence of
a linear perturbation $\cP_{\phi}$ of $\cP$ so that the linear complete
differential resultant $\dcres_{\phi}$ associated to $\cP_{\phi}$ is nonzero. A
nonzero linear differential polynomial in $\id$ is obtained from the lowest
degree term of $\dcres_{\phi}$ and used to provide an implicitization algorithm
for $\cP$.

35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg