Integral $p$-adic Hodge Theory

By C. Breuil. 2002

290 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/23cf31b5e060a44e3a9fe934b986860b1183440c

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Prisms and prismatic cohomology (2019, methodology): “aring above merely twists the A-module structure. The comparison results from [BMS18] are then immediate consequences of the comparison results above (except for the results on de Rham-Witt theory in [BMS18] that we have not taken up here); note that the Acrys-comparison theorem from [BMS18] follows”
Cohen-Macaulayness of absolute integral closures (2020, unknown): “DVR V , and R/Ois obtained as the p-completion of a ﬁnitely presented V -algebra (and similarly for schemes). In this case, all results above also follow from the construction of the complexes AΩR in [BMS18], which preceeded [BS19]: we have ∆R = φ∗AΩR by [BS19, Theorem 17.2]. Moreover, we shall cruc”
On lattices in semi-stable representations: a proof of a conjecture of Breuil (2008, unknown): “See [Bre02, § 4] for the expos´e of this direction.”
Construction of some families of 2-dimensional crystalline representations (2003, unknown): “described by “Breuil modules” (see [Br99, Br00 ]).”
An introduction to the theory of p-adic representations (2002, background): “ve the space (or the knowledge) to comment on. V.3.1. Integral p-adic Hodge theory One topic that we will say nothing about is integral p-adic Hodge theory. We refer the reader to the paper of Breuil [14] for an illuminating survey and further references. V.3.2. Perrin-Riou’s exponential For arithme”
Quasi-semi-stable representations (2007, background): “Remark. The first part of corollary was already known (theorem 3.4.3 of [ 5 ]).”