17 citations · 24 across the 8 of their papers we have counts for
9 papers
Asai-Flach classes, p-adic L-functions and the Bloch-Kato conjecture for GO(4)
Giada Grossi, David Loeffler, Sarah Livia Zerbes
We prove the Bloch-Kato conjecture for critical values of Asai L-functions of p-ordinary Hilbert modular forms over quadratic fields (with p split); and one inclusion in the Iwasaw…
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…
Higher Hida theory for Hilbert modular varieties in the totally split case
Giada Grossi
We study -adic properties of the coherent cohomology of some automorphic sheaves on the Hilbert modular variety for a totally real field in the case where the prime …
On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes
Francesc Castella, Giada Grossi, Jaehoon Lee +1
Let be an elliptic curve, and a prime where has good reduction, and assume that admits a rational -isogeny. In this paper, we study the anticyclotomic…
Finite descent obstruction for Hilbert modular varieties
Gregorio Baldi, Giada Grossi
Let be a finite set of primes. We prove that a form of finite Galois descent obstruction is the only obstruction to the existence of -points on integral models…
On norm relations for Asai-Flach classes
Giada Grossi
We give a new proof of the norm relations for the Asai-Flach Euler system built by Lei-Loeffler-Zerbes. More precisely, we redefine Asai-Flach classes in the language used by Loeff…