Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593265 | Journal of Number Theory | 2016 | 8 Pages |
Abstract
Answering a question of Ed Schaefer, we show that if J is the Jacobian of a curve C over a number field, if s is an automorphism of J coming from an automorphism of C, and if u lies in Z[s]⊆EndJ and has connected kernel, then it is not necessarily the case that u gives a surjective map from the Mordell–Weil group of J to the Mordell–Weil group of its image.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Everett W. Howe,