solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看10644次
Division by $1 - \zeta$ on superelliptic curves and jacobians. (arXiv:1810.07299v1 [math.AG])
来源于:arXiv
In 2016, Yuri Zarhin gave formulas for "dividing a point on a hyperelliptic
curve by 2." Given a point $P$ on a hyperelliptic curve $\mathcal{C}$, Zarhin
gives the Mumford's representation of every degree $g$ divisor $D$ such that
$2(D - g \infty) \sim P - \infty$. The aim of this paper is to generalize
Zarhin's result to the superelliptic situation; instead of dividing by 2, we
divide by $1 - \zeta$. Even though there is no Mumford's representation for
superelliptic curves, we give a formula for functions which cut out $D$. 查看全文>>