Cotorsion of anti-cyclotomic Selmer groups on average

Kundu, Debanjana; Sprung, Florian

doi:10.1090/proc/16543

Cotorsion of anti-cyclotomic Selmer groups on average
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by Debanjana Kundu and Florian Sprung;

Proc. Amer. Math. Soc. 152 (2024), 521-535

DOI: https://doi.org/10.1090/proc/16543

Published electronically: November 7, 2023

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Abstract:

For an elliptic curve, we study how many Selmer groups are cotorsion over the anti-cyclotomic $\mathbb {Z}_p$-extension as one varies the prime $p$ or the quadratic imaginary field in question.

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