We construct three-variable $ p $-adic families of Galois cohomology classes attached to
Rankin convolutions of modular forms, and prove an explicit reciprocity law relating these …

This article is the first in a series devoted to studying generalised Gross-Kudla-Schoen
diagonal cycles in the product of three Kuga-Sato varieties and the Euler system properties …

We construct a Euler system in the cohomology of the tensor product of the Galois
representations attached to two modular forms, using elements in the higher Chow groups of …

p-adic L-functions and Euler systems: a tale in two trilogies Page 63 3 p -adic L -functions and
Euler systems: a tale in two trilogies Massimo Bertolini, Francesc Castella, Henri Darmon, Samit …

This article constructs a 3-variable balanced diagonal class κ (f, g, h) in the cohomology of
the Galois representation associated to a self-dual triple (f, g, h) of p-adic Hida families. Its …

This article establishes new cases of the Birch and Swinnerton-Dyer conjecture in analytic
rank $0 $, for elliptic curves over $\mathbb {Q} $ viewed over the fields cut out by certain self …

Let be odd two-dimensional Artin representations for which is self-dual. The progress on
modularity achieved in recent decades ensures the existence of normalized eigenforms of …

We show that the Euler system associated with Rankin–Selberg convolutions of modular
forms, introduced in our earlier works with Lei and Kings, varies analytically as the modular …

In this paper we make a systematic study of certain motivic cohomology classes (``Rankin-
Eisenstein classes'') attached to the Rankin-Selberg convolution of two modular forms of …

Let E be an elliptic curve over Q and let% be an odd, irreducible twodimensional Artin
representation. This article proves the Birch and Swinnerton-Dyer conjecture in analytic rank …