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
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
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