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Optimal quotients and surjections of Mordell-Weil groups

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.

preprint2016arXivOpen access
Everett W. Howe
math.NT
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Everett W. Howe

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