For proper simple normal crossing log schemes with a relative normal crossing divisor over a p-adic PD-formal family of log points, the paper constructs a zariskian p-adic bifiltered El Zein-Steenbrink-Zucker complex and reduces the log p-adic relative monodromy-weight conjecture to the absolute…
Degenerations of log Hodge de Rham spectral sequences, log Kodaira vanishing theorem in characteristic p>0 and log weak Lefschetz conjecture for log crystalline cohomologies
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The zariskian p-adic bifiltered El Zein-Steenbrink-Zucker complex of a proper SNCL scheme with a relative SNCD
For proper simple normal crossing log schemes with a relative normal crossing divisor over a p-adic PD-formal family of log points, the paper constructs a zariskian p-adic bifiltered El Zein-Steenbrink-Zucker complex and reduces the log p-adic relative monodromy-weight conjecture to the absolute…