Selmer Ranks of twists of hyperelliptic curves and superelliptic curves
classification
🧮 math.NT
keywords
curvesranksselmertwistshyperellipticjacobianssuperellipticconditions
read the original abstract
We study the variation of Selmer ranks of Jacobians of twists of hyperelliptic curves and superelliptic curves. We find sufficient conditions for such curves to have infinitely many twists whose Jacobians have Selmer ranks equal to $r$, for any given nonnegative integer $r$. This generalizes earlier results of Mazur-Rubin on elliptic curves.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.