4 citations · 5 across the 4 of their papers we have counts for
4 papers
On F-crystalline representations
Bryden Cais, Tong Liu
We extend the theory of Kisin modules and crystalline representations to allow more general coefficient fields and lifts of Frobenius. In particular, for a finite and totally ramif…
The Geometry of Hida Families and Λ-adic Hodge Theory
Bryden Cais
We construct Λ-adic de Rham and crystalline analogues of Hida's ordinary Λ-adic etale cohomology, and by exploiting the geometry of integral models of modular curves over the cyclo…
Canonical extensions of Néron models of Jacobians
Bryden Cais
Let A be the Néron model of an abelian variety A_K over the fraction field K of a discrete valuation ring R. Due to work of Mazur-Messing, there is a functorial way to prolong the…
Canonical integral structures on the de Rham cohomology of curves
Bryden Cais
For a smooth and proper curve X over the fraction field K of a discrete valuation ring R, we explain (under very mild hypotheses) how to equip the de Rham cohomology H^1_{dR}(X/K)…