A note on the torsion of the Jacobians of superelliptic curves $y^{q}=x^{p}+a$
Volume 108 / 2016
Banach Center Publications 108 (2016), 143-149
MSC: Primary 11G10, 11G15, 11G20, 11G25, 11G30; Secondary 11L05, 11R45.
DOI: 10.4064/bc108-0-11
Abstract
This article is a short version of the paper published in J.~Number Theory 145~(2014) but we add new results
and a brief discussion about the Torsion Conjecture.
Consider the family of superelliptic curves (over $\mathbb{Q}$) $C_{q,p,a}\colon\
y^{q}=x^{p}+a$, and its Jacobians $J_{q,p,a}$, where $2
