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Generic Hodge and special Hodge--Witt polygons
We prove that the Hodge polygon of the generic fiber of a proper smooth $p$-adic formal scheme over $\mathcal O_C$ lies on or above the generalized Hodge--Witt polygon of its special fiber. The argument combines prismatic cohomology with Ekedahl's diagonal theory of coherent Raynaud complexes. For e
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