Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Number of singular points of an annulus in $\mathbb{C}^2$   Using Bogomolov-Miyaoka-Yau inequality and a Milnor number bound we prove
that any algebraic annulus $\mathbb{C}^*$ in $\mathbb{C}^2$ with no
self-intersections can have at most three cuspidal singularities.

23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th