$p$-adic vanishing cycles as Frobenius-fixed points

Abstract

Given a smooth formal scheme over the ring of integers of a mixed-characteristic perfectoid field, we study its $p$-adic vanishing cycles via de Rham--Witt and $q$-de Rham complexes.

References in corpus (3)

• Integral p-adic Hodge theory
• Topological Hochschild homology and integral $p$-adic Hodge theory
• Notes on the A_inf-cohomology of Integral p-adic Hodge theory

Cited by in corpus (4)

• Topological Hochschild homology and integral $p$-adic Hodge theory
• Generalised representations as q-connections in integral $p$-adic Hodge theory
• Integral $p$-adic étale cohomology of Drinfeld symmetric spaces
• On $K(1)$-local $\mathrm{TR}$