Topos co-évanescents et généralisations

Ahmed Abbes (1) , Michel Gros (2)

1 IHES - Institut des Hautes Études Scientifiques
2 IRMAR - Institut de Recherche Mathématique de Rennes

This article is devoted to studying a topos introduced by Faltings for the purpose of $p$-adic Hodge theory. We present a new approach based on a generalisation of Deligne's co-vanishing topos. Along the way, we correct Faltings' original definition.

Domaines: Géométrie algébrique [math.AG]

Ahmed Abbes, Michel Gros. Topos co-évanescents et généralisations. 2011. ⟨hal-00662361⟩