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arXiv · 2512.08599

Comparison of canonical periods under base change

Qingshen Lv·Bingyong Xie
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Abstract

In this paper we prove the canonical period of a Hilbert modular form with respect to the base change of a real quadratic extension differs from the square of its own canonical period only by a $p$-adic unit under some conditions. We prove this by proving a specific version of anticyclotomic Iwasawa main conjecture for Hilbert modular forms.

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Qingshen Lv, Bingyong Xie. 2025-12-09. Comparison of canonical periods under base change. https://arxiv.org/abs/2512.08599

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