Asai-Flach classes and p-adic L-functions

Abstract

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 expressed as a value, outside the interpolation range, of the p-adic Asai L-function constructed in the prequel paper arXiv:2307.07004.

Withdrawn since its content has been merged into the (previously separate) paper arxiv:2407.17055 by the same authors