Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the holomorphic closure dimension of real analytic sets   Given a real analytic (or, more generally, semianalytic) set R in the
n-dimensional complex space, there is, for every point p in the closure of R, a
unique smallest complex analytic germ X_p that contains the germ R_p. We call
the complex dimension of X_p the holomorphic closure dimension of R at p. We
show that the holomorphic closure dimension of an irreducible R is constant on
the complement of a closed proper analytic subset of R, and discuss the
relationship between this dimension and the CR dimension of R.

37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg