A note on the filtered decomposition theorem

Abstract

We generalize the logarithmic decomposition theorem of Deligne-Illusie to a filtered version. There are two applications. The easier one provides a mod $p$ proof for a vanishing theorem in characteristic zero. The deeper one gives rise to a positive characteristic analogue of a theorem of Deligne on the mixed Hodge structure attached to complex algebraic varieties.

17 pages. final version. Comments are appreciated

References in corpus (2)

• Logarithmic nonabelian Hodge theory in characteristic p
• Intersection de Rham complexes in positive characteristic