Comparison of canonical periods under base change
Number Theory
2025-12-10 v1
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 -adic unit under some conditions. We prove this by proving a specific version of anticyclotomic Iwasawa main conjecture for Hilbert modular forms.
Keywords
Cite
@article{arxiv.2512.08599,
title = {Comparison of canonical periods under base change},
author = {Qingshen Lv and Bingyong Xie},
journal= {arXiv preprint arXiv:2512.08599},
year = {2025}
}