Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of plane curves via Tschirnhausen resolution tower   We show the existence of toric resolution tower for an irreducible curve
singularity which is explicitly described by Tschirnhausen polynomials. We
deduce for a smooth affine plane curve from its topology restrictions for its
singularity at infinity. For instance, we discribe the singularities at
infinity (up to equisingular deformation) for curves of genus 0,1 and 2. From
this follows an extension of the Abhyankar-Moh-Suzuki theorem to genus 1 and 2.

6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas