Congruences between Hilbert modular forms of weight $2$, and the Iwasawa $\lambda$-invariants

Yuichi Hirano

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arXiv · 1707.01318

Congruences between Hilbert modular forms of weight $2$, and the Iwasawa $\lambda$-invariants

Yuichi Hirano

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Abstract

The purpose of this paper is to prove the equality between the algebraic Iwasawa $\lambda$-invariant and the analytic Iwasawa $\lambda$-invariant for a Hilbert cusp form of parallel weight $2$ at an ordinary prime $p$ when the associated residual Galois representation is reducible. This is a generalization of a result of R. Greenberg and V. Vatsal.

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Yuichi Hirano. 2017-07-05. Congruences between Hilbert modular forms of weight $2$, and the Iwasawa $\lambda$-invariants. https://arxiv.org/abs/1707.01318

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