Colloquium / Seminars

Topic：Cuspidal divisor class groups of the modular curve
Speaker：Prof. Jia--Wei Guo
　　　　(National Taiwan University)
Date time：Oct. 18, 2022 14:00 – 15:00
Venue：SA223
Abstract：
Abstract. Let $N=p^2M$ with $p$ a prime and $M$ a square free integer, $\mathscr C(N)$ be the subgroup of the Jacobian variety $J_0(N)$ generated by the equivalent classes of cuspidal divisors of degree $0$, and $\mathscr C_{\mathbb Q}(N)$ be the subgroup of $\mathscr C(N)(\mathbb Q)$ generated by $\mathbb Q$-rational cuspidal divisors. In this talk, we will show that the two groups $\mathscr C(N)(\mathbb Q)$ and $\mathscr C_{\mathbb Q}(N)$ are equal by appropriate constructions of modular units. This is a joint work with Yifan Yang, Hwajong Yoo, and Myungjun Yu.
Download：Talk_1111018.pdf

$返回$ go back