We construct the three-variable $ p $-adic triple product $ L $-functions attached to Hida
families of elliptic newforms and prove the explicit interpolation formulae at all critical …

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 …

We study the algebraicity of Stark-Heegner points on a modular elliptic curve E. These
objects are p-adic points on E given by the values of certain p-adic integrals, but they are …

Let p be a prime number and let E be an elliptic curve defined over ℚ of conductor N. Let K
be an imaginary quadratic field with discriminant prime to pN such that all prime factors of N …

Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou - ScienceDirect
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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 …

For an elliptic curve over $\mathbb {Q} $ of rank 1, integral $ j $-invariant, and suitable
finiteness in the Tate-Shafarevich group, we use the level-two Selmer variety and secondary …

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 …

This article is the first in a series devoted to Kato's Euler system arising from p-adic families
of Beilinson elements in the K-theory of modular curves. It proves ap-adic Beilinson formula …

This note presents a qualitative improvement to the algorithm presented in [DG] for
computing Stark-Heegner points attached to an elliptic curve and a real quadratic field. This …