Translator Disclaimer
December 2013 Torsion Points on Hyperelliptic Jacobians via Anderson's $p$-adic Soliton Theory
Yuken MIYASAKA, Takao YAMAZAKI
Tokyo J. Math. 36(2): 387-403 (December 2013). DOI: 10.3836/tjm/1391177978

Abstract

We show that torsion points of certain orders are not on a theta divisor in the Jacobian variety of a hyperelliptic curve given by the equation $y^2=x^{2g+1}+x$ with $g \geq 2$. The proof employs a method of Anderson who proved an analogous result for a cyclic quotient of a Fermat curve of prime degree.

Citation

Download Citation

Yuken MIYASAKA. Takao YAMAZAKI. "Torsion Points on Hyperelliptic Jacobians via Anderson's $p$-adic Soliton Theory." Tokyo J. Math. 36 (2) 387 - 403, December 2013. https://doi.org/10.3836/tjm/1391177978

Information

Published: December 2013
First available in Project Euclid: 31 January 2014

zbMATH: 1287.14014
MathSciNet: MR3161565
Digital Object Identifier: 10.3836/tjm/1391177978

Rights: Copyright © 2013 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
17 PAGES


SHARE
Vol.36 • No. 2 • December 2013
Back to Top