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arXiv · 2407.17055

Asai-Flach classes, p-adic L-functions and the Bloch-Kato conjecture for GO(4)

Giada Grossi·David Loeffler·Sarah Livia Zerbes
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Abstract

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 Iwasawa main conjecture for these L-functions (up to a power of p). Along the way, we also prove a version of the p-adic Eichler-Shimura comparison isomorphism for Hida families of Hilbert modular forms.

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Giada Grossi, David Loeffler, Sarah Livia Zerbes. 2024-07-24. Asai-Flach classes, p-adic L-functions and the Bloch-Kato conjecture for GO(4). https://arxiv.org/abs/2407.17055

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