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…