Article ID Journal Published Year Pages File Type
4593265 Journal of Number Theory 2016 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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