Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraicity of local holomorphisms between real-algebraic submanifolds
  of complex spaces   We prove that a germ of a holomorphic map $f$ between $C^n$ and $C^{n'}$
sending one real-algebraic submanifold $M\subset C^n$ into another $M'\subset
C^{n'}$ is algebraic provided $M'$ contains no complex-analytic discs and $M$
is generic and minimal. We also propose an algorithm for finding
complex-analytic discs in a real submanifold.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg