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 …

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 …

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 …

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 …

Abstract Let A/QA/Q be an elliptic curve with split multiplicative reduction at a prime p. We
prove (an analogue of) a conjecture of Perrin-Riou, relating p-adic Beilinson–Kato elements …

Let A be an elliptic curve over the rationals with multiplicative reduction at a prime p, and let
K be a quadratic field in which p is inert. Under a generalized Heegner assumption, our …

The aim of this note is twofold. Firstly, we prove an explicit reciprocity law for certain
diagonal classes in the etale cohomology of the triple product of a modular curve, stated in …

This article can be read as a companion and sequel to the authors' earlier article on Stark
points and p-adic iterated integrals attached to modular forms of weight one, which proposes …

In this paper we study a new conjecture concerning Kato's Euler system of zeta elements for
elliptic curves $ E $ over $\mathbb {Q} $. This conjecture, which we refer to as …