Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compact complex manifolds whose complement of an analytic subset is
  Kahler   In this paper, we consider a class of balanced manifolds and provide a proof
of a problem proposed by Silva-that compact complex manifolds that are Kahler
outside an analytic subset are balanced. Next, as a special case of this
theorem, we prove that compact complex manifolds which are Kahler outside a
Kahler submanifold are class C. Finally, we prove that a blow up along a
submanifold of Hironaka's examples are Kahler, and we establish that Hironaka's
examples are examples of this theorem.

32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc