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arXiv · 2002.00672

Weierstrass points at irregular cusps

Daeyeol Jeon
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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.

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Daeyeol Jeon. 2020-02-03. Weierstrass points at irregular cusps. https://arxiv.org/abs/2002.00672

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