Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916287660163072 |
|---|---|
| author | Hatley, Jeffrey Kundu, Debanjana Ray, Anwesh |
| author_facet | Hatley, Jeffrey Kundu, Debanjana Ray, Anwesh |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_01517 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves Hatley, Jeffrey Kundu, Debanjana Ray, Anwesh Number Theory 11G05, 11R23 (Primary), 11R45 (Secondary) 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. |
| title | Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves |
| topic | Number Theory 11G05, 11R23 (Primary), 11R45 (Secondary) |
| url | https://arxiv.org/abs/2106.01517 |