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Some examples of DR-indecomposable special fibers of semi-stable reductions over Witt rings

Published 19 Oct 2017 in math.AG | (1710.07013v1)

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 $E_1$ degeneration of the Hodge to log de Rham spectral sequence does not imply DR-decomposability of semi-stable varieties.

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Authors (2)

  1. Mao Sheng 
  2. Junchao Shentu 

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