Torsion points on hyperelliptic Jacobians via Anderson's $p$-adic soliton theory

Yuken Miyasaka, Takao Yamazaki

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 $g\ge 2$. Th…