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 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 …

Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou - ScienceDirect
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We give a new construction of overconvergent modular forms of arbitrary weights, defining
them in terms of functions on certain affinoid subsets of Scholze's infinite-level modular …

We prove an explicit reciprocity law for the Euler system attached to the spin motive of a
genus 2 Siegel modular form. As consequences, we obtain one inclusion of the Iwasawa …

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 …

We prove that the cuspidal eigencurve $\scr {C} _ {{\rm cusp}} $ is\'etale over the weight
space at any classical weight $1 $ Eisenstein point $ f $ and meets two Eisenstein …

Heegner points in Coleman families - Jetchev - 2021 - Proceedings of the London
Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article …

We construct p-adic triple product L-functions that interpolate (square roots of) central critical
L-values in the balanced region. Thus, our construction complements that of Harris and …

The goal of this paper is to study the $ p $-adic variation of Heegner points and generalized
Heegner classes for ordinary families of quaternionic modular forms. We compare classical …