Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Star products with separation of variables admitting a smooth extension   Given a complex manifold $M$ with an open dense subset $\Omega$ endowed with
a pseudo-Kaehler form $\omega$ which cannot be smoothly extended to a larger
open subset, we consider various examples where the corresponding
Kaehler-Poisson structure and a star product with separation of variables on
$(\Omega, \omega)$ admit smooth extensions to $M$. We suggest a simple
criterion of the existence of a smooth extension of a star product and apply it
to these examples.

26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat