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- W2896461770 abstract "In 2016, Yuri Zarhin gave formulas for 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 $D$." @default.
- W2896461770 created "2018-10-26" @default.
- W2896461770 creator A5022407915 @default.
- W2896461770 date "2018-10-16" @default.
- W2896461770 modified "2023-09-27" @default.
- W2896461770 title "Division by $1-zeta$ on superelliptic curves and jacobians." @default.
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- W2896461770 hasPublicationYear "2018" @default.
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