Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalization of Gurjar's Hyperplane section theorem to arbitrary
  analytic varieties and A$\mathbb{m}$AC classes   The aim of this paper is to generalize the hyperplane section theorem of
Gurjar to arbitrary (local) analytic varieties even if the intersection with of
hyperplanes is not necessarily isolated.
  In case of formal varieties, we generalize the statement to work for
different classes of functions than just hyperplanes. We call these classes
(which are subsets of formal power series ring) to be algebraic
$\mathbb{m}$-adicaly closed (A$\mathbb{m}$AC).

23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas