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arXiv · 2106.01517

Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves

Jeffrey Hatley·Debanjana Kundu·Anwesh Ray
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Abstract

We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves, considered over anticyclotomic $\mathbb{Z}_p$-extensions in both the definite and indefinite settings. The results in this paper lie at the intersection of arithmetic statistics and Iwasawa theory.

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Jeffrey Hatley, Debanjana Kundu, Anwesh Ray. 2021-06-03. Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves. https://doi.org/10.1007/s00209-024-03517-5

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