Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Huisman's conjectures about unramified real curves   Let $X \subset \mathbb{P}^{n}$ be an unramified real curve with
$X(\mathbb{R}) \neq \emptyset$. If $n \geq 3$ is odd, Huisman conjectures that
$X$ is an $M$-curve and that every branch of $X(\mathbb{R})$ is a pseudo-line.
If $n \geq 4$ is even, he conjectures that $X$ is a rational normal curve or a
twisted form of a such. We disprove the first conjecture by giving a family of
counterexamples. We remark that the second conjecture follows for generic
curves of odd degree from the formula enumerating the number of complex
inflection points.

29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph