# On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions

@article{Lei2020OnTM,
title={On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions},
author={Antonio Lei and Gautier Ponsinet},
journal={Proceedings of the American Mathematical Society, Series B},
year={2020}
}
• Published 19 July 2018
• Mathematics
• Proceedings of the American Mathematical Society, Series B
<p>Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper F"> <mml:semantics> <mml:mi>F</mml:mi> <mml:annotation encoding="application/x-tex">F</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a number field unramified at an odd prime <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p"> <mml:semantics> <mml:mi>p</mml:mi> <mml…
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