The second moment of the size of the $2$-Selmer group of elliptic curves

Autor:	Bhargava, Manjul, Shankar, Arul, Swaminathan, Ashvin
Rok vydání:	2021
Předmět:	Mathematics - Number Theory 11G05 11R45 11E76
Druh dokumentu:	Working Paper
Popis:	In this paper, we prove that when elliptic curves over $\mathbb{Q}$ are ordered by height, the second moment of the size of the $2$-Selmer group is at most $15$. This confirms a conjecture of Poonen and Rains. Comment: 49 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.09063 Zobrazit plný text záznamu View this record from Arxiv