Asai-Flach classes and p-adic L-functions

2023/09/14 by Grossi, Giada, Loeffler, David, Zerbes, Sarah Livia
#11F33 #11F41 #11G18 #14G35 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2309.07536

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.

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