Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial approximation, local polynomial convexity, and degenerate CR
  singularities -- II   We provide some conditions for the graph of a Hoelder-continuous function on
\bar{D}, where \bar{D} is a closed disc in the complex plane, to be
polynomially convex. Almost all sufficient conditions known to date ---
provided the function (say F) is smooth --- arise from versions of the
Weierstrass Approximation Theorem on \bar{D}. These conditions often fail to
yield any conclusion if rank_R(DF) is not maximal on a sufficiently large
subset of \bar{D}. We bypass this difficulty by introducing a technique that
relies on the interplay of certain plurisubharmonic functions. This technique
also allows us to make some observations on the polynomial hull of a graph in
C^2 at an isolated complex tangency.

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn