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Decomposition of De Rham Complexes with Smooth Horizontal Coefficients for Semistable Reductions by Xie, Qihong is a scholarly article available to read on EtoBox.

What is Decomposition of De Rham Complexes with Smooth Horizontal Coefficients for Semistable Reductions about?

We generalize Illusie's result to prove the decomposition of the de Rham complex with smooth horizontal coefficients for a semistable $S$-morphism $f:X\ra Y$ which is liftable over $\Z/p^2\Z$. As an application, we prove the Koll\'ar vanishing theorem in positive characteristic for a semistable $S$-morphism $f:X\ra Y$ which is liftable over $\Z/p^2\Z$, where all concerned horizontal divisors are smooth over $Y$.

Author

Xie, Qihong

Published

2011

Language

EN