activity
19992023
most cited-adic families of diagonal cycles

6 citations · 12 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2023★ 1 cited

Rigid meromorphic cocycles for orthogonal groups

Henri Darmon, Lennart Gehrmann, Michael Lipnowski

Rigid meromorphic cocycles are defined in the setting of orthogonal groups of arbitrary real signature and constructed in some instances via a -adic analogue of Borcherds' singu…

math.NT2022★ 6 cited

-adic families of diagonal cycles

Henri Darmon, Victor Rotger

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 reci…

math.NT2022★ 3 cited

Stark-Heegner points and diagonal classes

Henri Darmon, Victor Rotger

Stark-Heegner points are conjectural substitutes for Heegner points when the imaginary quadratic field of the theory of complex multiplication is replaced by a real quadratic field…

math.NT2021★ 2 cited

The values of the Dedekind-Rademacher cocycle at real multiplication points

Henri Darmon, Alice Pozzi, Jan Vonk

The values of the so-called {\em Dedekind--Rademacher cocycle} at certain real quadratic arguments are shown to be global -units in the narrow Hilbert class field of the associa…

math.NT2019

First order p-adic deformations of weight one newforms

Henri Darmon, Alan Lauder, Victor Rotger

This article studies the first-order -adic deformations of classical weight one newforms, relating their fourier coefficients to the -adic logarithms of algebraic numbers in…

math.NT1999

Modularity of fibres in rigid local systems

Henri Darmon

It is believed that any p-adic Galois representation which is potentially semistable arises from a modular form. The main theorem of Wiles establishes this modularity when the repr…