4 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…
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…