Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593403 | Journal of Number Theory | 2016 | 38 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Myungjun Yu,