Some examples of DR-indecomposable special fibers of semi-stable reductions over Witt rings
Abstract
We answer negatively an open problem of Illusie on the DR-decomposability of the log de Rham complex of the special fiber of a semi-stable reduction over the Witt ring. We also show that E1 degeneration of the Hodge to log de Rham spectral sequence does not imply DR-decomposability of semi-stable varieties.
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