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math.NT2023
Flach system of Jacquet-Langlands type and quaternionic period
Haining Wang
In this article, we study the adjoint Selmer group of a modular form that admits a Jacquet-Langlands transfer to a modular form on a definite quaternion algebra. We show that this…
math.NT2023
Flach system on Quaternionic Hilbert--Blumenthal surfaces and distinguished periods
Haining Wang
We study arithmetic properties of certain quaternionic periods of Hilbert modular forms arising from base change of elliptic modular forms. These periods which we call the distingu…