Asai-Flach classes and p-adic L-functions
Number Theory
2025-02-18 v2
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.
Cite
@article{arxiv.2309.07536,
title = {Asai-Flach classes and p-adic L-functions},
author = {Giada Grossi and David Loeffler and Sarah Livia Zerbes},
journal= {arXiv preprint arXiv:2309.07536},
year = {2025}
}
Comments
Withdrawn since its content has been merged into the (previously separate) paper arxiv:2407.17055 by the same authors