Year: 2020
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Author: Jeon, Daeyeol
Institution: Kongju National University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3003296295