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Cotorsion of anti-cyclotomic Selmer groups on average

Authors :
Kundu, Debanjana
Sprung, Florian
Publication Year :
2023

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.<br />Comment: 12+epsilon pages, comments very welcome

Subjects

Subjects :
Mathematics - Number Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2305.10571
Document Type :
Working Paper