Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On curves with one place at infinity   Let $f$ be a plane curve. We give a procedure based on Abhyankar's
approximate roots to detect if it has a single place at infinity, and if so
construct its associated $\delta$-sequence, and consequently its value
semigroup. Also for fixed genus (equivalently Frobenius number) we construct
all $\delta$-sequences generating numerical semigroups with this given genus.
For a $\delta$-sequence we present a procedure to construct all curves having
this associated sequence.
  We also study the embeddings of such curves in the plane. In particular, we
prove that polynomial curves might not have a unique embedding.

16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con