Bryden Cais

activity

20082026

most citedDieudonne crystals and Wach modules for p-divisible fgroups

6 citations · 16 across the 17 of their papers we have counts for

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Showing 2014 · math.NTShow all

4 papers · 2 filters

math.NT2014★ 6 cited

Dieudonne crystals and Wach modules for p-divisible fgroups

Bryden Cais, Eike Lau

Let $k$ be a perfect field of characteristic $p > 2$ and $K$ an extension of $F = Frac W (k)$ contained in some $F (μ_{p^{r}})$ . Using crystalline Dieudonné theory, we provide a c…

math.NT2014★ 2 cited

The Geometry of Hida Families II: $Λ$ -adic $(φ, Γ)$ -modules and $Λ$ -adic Hodge Theory

Bryden Cais

We construct the $Λ$ -adic crystalline and Dieudonné analogues of Hida's ordinary $Λ$ -adic étale cohomology, and employ integral $p$ -adic Hodge theory to prove $Λ$ -adic comparison i…

math.NT2014

The Geometry of Hida Families I: $Λ$ -adic de Rham cohomology

Bryden Cais

We construct the $Λ$ -adic de Rham analogue of Hida's ordinary $Λ$ -adic étale cohomology and of Ohta's $Λ$ -adic Hodge cohomology, and by exploiting the geometry of integral models o…

math.NT2014

A characterization of strictly APF extensions

Bryden Cais, Christopher Davis, Jonathan Lubin

Let K denote a finite extension of Qp. We give necessary and sufficient conditions for an infinite totally wildly ramified extension L/K to be strictly APF in the sense of Fontaine…

Dieudonne crystals and Wach modules for p-divisible fgroups

The Geometry of Hida Families II: Λ-adic (φ,Γ)-modules and Λ-adic Hodge Theory

The Geometry of Hida Families I: Λ-adic de Rham cohomology

A characterization of strictly APF extensions

The Geometry of Hida Families II: $Λ$ -adic $(φ, Γ)$ -modules and $Λ$ -adic Hodge Theory

The Geometry of Hida Families I: $Λ$ -adic de Rham cohomology