p-adic families of diagonal cycles

2022/07/04 by Darmon, Henri, Rotger, Victor
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2207.01314

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 p-adic L-function associated to a triple of Hida families by means of Perrin-Riou's Λ-adic regulator.

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