This article studies a distinguished collection of so-called generalized Heegner cycles in the
product of a Kuga–Sato variety with a power of a CM elliptic curve. Its main result is ap-adic …

Let E be a semistable elliptic curve over Q. We prove that if E has non-split multiplicative
reduction at at least one odd prime or split multiplicative reduction at at least two odd primes …

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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Let E be a CM elliptic curve over the rationals and p> 3 p> 3 a good ordinary prime for E. We
show that _ Z _ p Sel _ p^ ∞ (E_/Q)= 1 ord _ s= 1 L (s, E_/Q)= 1 corank Z p Sel p∞(E/Q) …

The primary goal of this paper is to investigate the geometry of the p-adic eigencurve at a
point f corresponding to a weight one cuspidal CM theta series θ ψ irregular at the prime …

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 …

We construct “generalized Heegner cycles” on a variety fibered over a Shimura curve,
defined over a number field. We show that their images under the p-adic Abel–Jacobi map …

Let $ E/F $ be an elliptic curve defined over a number field $ F $ with complex multiplication
by an imaginary quadratic field $ K $ such that $ F (E_ {\rm tors})/K $ is abelian. In this paper …

In this paper, we prove an 'explicit reciprocity law'relating Howard's system of big Heegner
points to a two-variable-series of Bertolini–Darmon–Prasanna in Hida families. As …