109 citations · 693 across the 41 of their papers we have counts for
3 papers · 2 filters
An Euler system for the adjoint of a modular form
David Loeffler, Sarah Livia Zerbes
We construct an Euler system for the adjoint Galois representation of a modular form, using motivic cohomology classes arising from Hilbert modular surfaces. We use this Euler syst…
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…