### References & Citations

# Mathematics > Number Theory

# Title: Weierstrass points at irregular cusps

(Submitted on 3 Feb 2020 (v1), last revised 16 Jul 2020 (this version, v2))

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.

## Submission history

From: Daeyeol Jeon [view email]**[v1]**Mon, 3 Feb 2020 12:30:35 GMT (7kb)

**[v2]**Thu, 16 Jul 2020 06:12:47 GMT (10kb)

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