Optimal quotients and surjections of Mordell-Weil groups
Number Theory
2020-01-16 v3
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 the subring Z[s] of End J 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
Cite
@article{arxiv.1505.07141,
title = {Optimal quotients and surjections of Mordell-Weil groups},
author = {Everett W. Howe},
journal= {arXiv preprint arXiv:1505.07141},
year = {2020}
}
Comments
Version 2: Improved exposition. Version 3: Corrected a typographical error in a covering map