English

Cotorsion of anti-cyclotomic Selmer groups on average

Number Theory 2023-05-19 v1

Abstract

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

Keywords

Cite

@article{arxiv.2305.10571,
  title  = {Cotorsion of anti-cyclotomic Selmer groups on average},
  author = {Debanjana Kundu and Florian Sprung},
  journal= {arXiv preprint arXiv:2305.10571},
  year   = {2023}
}

Comments

12+epsilon pages, comments very welcome