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The Filtered Poincaré Lemma in Higher Level (With Applications to Algebraic Groups)
Abstract We show that the Poincaré lemma we proved elsewhere in the context of crystalline cohomology of higher level behaves well with regard to the Hodge filtration. This allows us to prove the Poincaré lemma for transversal crystals of level m . We interpret the de Rham complex in terms …