Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On regular Stein neighborhoods of a union of two maximal totally real
  subspaces in $\mathbb{C}^n$   We present a construction of regular Stein neighborhoods of a union of
maximally totally real subspaces $M=(A+iI)\mathbb{R}^n$ and $N=\mathbb{R}^n$ in
$\mathbb{C}^n$, provided that the entries of a real $n \times n$ matrix $A$ are
sufficiently small. Our proof is based on a local construction of a suitable
plurisubharmonic function $\rho$ near the origin, such that the sublevel sets
of $\rho$ are strongly pseudoconvex and admit strong deformation retraction to
$M\cup N$. We also give the application of this result to totally real
immersions of real $n$-manifolds in $\mathbb{C}^n$ with only finitely many
double points, and such that the union of the tangent spaces at each
intersection in some local coordinates coincides with $M\cup N$, described
above.

29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom