Appears in collection : Arithmetic Geometry – A Conference in Honor of Hélène Esnault on the Occasion of Her 70th Birthday

Let $p$ be a prime. For a family of simple normal crossing log varieties on which p is nilpotent, we construct a filtered complex on certain log crystalline site which gives rise to the weight filtered p-adic Steenbrink complex defined by Mokrane and Nakkajima when we project it to the Zariski site.