非正则尖点处的Weierstrass点
Weierstrass points at irregular cusps
摘要：
本文证明了亏格为$\geq2$的$X_1(N)$上除$X_1(18)$外的所有非正则尖点都是Weierstrass点.对于$p^2M$形式的正整数$N$，我们得到了等价于$\left(\begin{smallmatrix}1\\p\end{smallmatrix}\right)$的$M$的非正则尖点是否为Weierstrass点的一些结果.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
