Level compatibility in Sharifi's conjecture

Autor:	Lecouturier, Emmanuel, Wang, Jun
Rok vydání:	2022
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	Sharifi has constructed a map from the first homology of the modular curve $X_1(M)$ to the $K$-group $K_2(\mathbf{Z}[\zeta_M, \frac{1}{M}])$, where $\zeta_M$ is a primitive $M$th root of unity. We study how these maps relate when $M$ varies. Our method relies on the techniques developed by Sharifi and Venkatesh. Comment: Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.06921 Zobrazit plný text záznamu View this record from Arxiv