论文标题

Weierstrass点不规则尖端

Weierstrass points at irregular cusps

论文作者

Jeon, Daeyeol

论文摘要

在本文中,我们证明了$ \ geq2 $的$ x_1(n)$上的所有不规则cusps均为weierstrass点,除了$ x_1(18)$。另外,对于任何正面整数$ n $,$ p^2M $带有prime $ p $和一个正整数$ m $,我们会为$ x_0(n)$等效到$ \ left(\ oken {smallmatrix} 1 \\ p \ p \ p \ p \ p \ p \ pright {smallmatrix} $ weiers $ x_0(n)$等于$ x_0(n)$ ney时,我们会获得一些结果。

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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