$p$-adic families of diagonal cycles

Autor: Darmon, Henri, Rotger, Victor
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: This note provides the construction of a three-variable family of cohomology classes arising from diagonal cycles on a triple product of towers of modular curves, and proves a reciprocity law relating it to the three variable triple-product $p$-adic $L$-function associated to a triple of Hida families by means of Perrin-Riou's $\Lambda$-adic regulator.
Databáze: arXiv