Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on envelopes of holomorphy   Let $p:X\longrightarrow M$ be a Riemann domain over a connected
$n$-dimensional complex submanifold $M$ of $\mathbb C^N$ and let $\mathcal
F\subset\mathcal O(X)$ be such that $p\in\mathcal F^N$. Our aim is to discuss
relations between the $\mathcal F$-envelope of holomorphy of $(X,p)$ in the
sense of Riemann domains over $M$ and the $\mathcal F$-envelope of holomorphy
of $X$ in the sense of complex manifolds.

5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat