$p$-adic families of diagonal cycles
Number Theory
2022-07-05 v1
Abstract
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 -adic -function associated to a triple of Hida families by means of Perrin-Riou's -adic regulator.
Keywords
Cite
@article{arxiv.2207.01314,
title = {$p$-adic families of diagonal cycles},
author = {Henri Darmon and Victor Rotger},
journal= {arXiv preprint arXiv:2207.01314},
year = {2022}
}