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 …

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 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 …

We show that the logarithmic version of the syntomic cohomology of Fontaine and Messing
for semistable varieties over p-adic rings extends uniquely to a cohomology theory for …

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 …

Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou - ScienceDirect
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This article is the first in a series devoted to the Euler system arising from p-adic families of
Beilinson-Flach elements in the first K-group of the product of two modular curves. It relates …

Let $ E $ be an elliptic curve defined over $\mathbb {Q} $ with conductor $ N $ and $ p\nmid
2N $ a prime. Let $ L $ be an imaginary quadratic field with $ p $ split. We prove the …