17 citations · 24 across the 8 of their papers we have counts for
4 papers · 2 filters
Non-vanishing of Kolyvagin systems and Iwasawa theory
Ashay Burungale, Francesc Castella, Giada Grossi +1
Let be an elliptic curve and an odd prime. In 1991 Kolyvagin conjectured that the system of cohomology classes for torsion quotients of the -adic Tate module…
Asai-Flach classes and p-adic L-functions
Giada Grossi, David Loeffler, Sarah Livia Zerbes
We prove a formula for the Bloch-Kato logarithm of the bottom class in the Asai-Flach Euler system associated to a quadratic Hilbert modular form. We show that this can be expresse…
P-adic Asai L-functions for quadratic Hilbert eigenforms
Giada Grossi, David Loeffler, Sarah Livia Zerbes
We construct p-adic Asai L-functions for cuspidal automorphic representations of GL2 / F, where F is a real quadratic field in which p splits. Our method relies on higher Hida theo…
Mazur's main conjecture at Eisenstein primes
Francesc Castella, Giada Grossi, Christopher Skinner
Let be an elliptic curve, let be a prime of good reduction for , and assume that admits a rational -isogeny with kernel . In this pa…