Contents Online
Mathematical Research Letters
Volume 22 (2015)
Number 6
Integral $p$-adic Hodge theory — announcement
Pages: 1601 – 1612
DOI: https://dx.doi.org/10.4310/MRL.2015.v22.n6.a3
Authors
Abstract
Given a proper, smooth (formal) scheme over the ring of integers of $\mathbb{C}_p$, we prove that if the crystalline cohomology of its special fibre is torsion-free then the $p$-adic étale cohomology of its generic fibre is also torsion-free. In this announcement we sketch the proof, which relies on the construction of a new cohomology theory interpolating crystalline and étale cohomology. Further details and results will be presented in the full forthcoming article.
Accepted 15 September 2015
Published 23 May 2016