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We prove a comparison theorem between Greenberg--Benois$\mathcal{L}$-invariants and Fontaine--Mazur $\mathcal{L}$-invariants. Such acomparison theorem supplies an affirmative answer to a speculation ofBesser--de Shalit.

On Greenberg--Benois $\mathcal{L}$-invariants and Fontaine--Mazur $\mathcal{L}$-invariants