Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weierstrass points at irregular cusps   In this paper, we prove that all irregular cusps on $X_1(N)$ of genus $\geq2$
are Weierstrass points except for $X_1(18)$. Also, for any positive integer $N$
of the form $p^2M$ with a prime $p$ and a positive integer $M$, we obtain some
results for when the irregular cusps of $X_0(N)$ equivalent to
$\left(\begin{smallmatrix}1\\p\end{smallmatrix}\right)$ are Weierstrass points
or not.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int