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Parabolic Simple $\mathscr{L}$-Invariants
Let $L$ be a finite extension of $\mathbf{Q}_p$. Let $ρ_L$ be a potentially semi-stable non-crystalline $p$-adic Galois representation such that the associated $F$-semisimple Weil-Deligne representation is absolutely indecomposable. In this paper, we study Fontaine-Mazur parabolic simple $\mathscr{L
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