A canonical generator for congruence ideals of Hida families

Autor:	Maksoud, Alexandre
Rok vydání:	2023
Předmět:	Mathematics - Number Theory 11R27
Druh dokumentu:	Working Paper
Popis:	We construct canonical adjoint $p$-adic $L$-functions generating the congruence ideal attached to Hida families using Ohta's pairing. We show that these $p$-adic $L$-functions, suitably modified by certain Euler factors, are interpolated by a regular element of Hida's universal ordinary Hecke algebra. We also relate them to characteristic series of primitive adjoint Selmer groups. Comment: 33 pages; comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.16706 Zobrazit plný text záznamu View this record from Arxiv