Average values on the Jacobian variety of a hyperelliptic curve
Bull. Korean Math. Soc.
Published online 2019 Mar 19
Jiman Chung, and Bo-Hae Im
Chung-Ang University, KAIST
Abstract : We give explicitly an average value formula for the $x$-coordinates of the $2$-division points on the Jacobian variety of a hyperelliptic curve under the multiplication-by-$2$ map.
Keywords : Jacobian variety, hyperelliptic curve
MSC numbers : 11G05
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