3 citations · 4 across the 8 of their papers we have counts for
8 papers
Crystals of relative displays and Calabi-Yau threefolds
Oliver Gregory
Displays can be thought of as relative versions of Fontaine's notion of strongly divisible lattice from integral -adic Hodge theory. In favourable circumstances, the crystalline…
Motivic cohomology and algebraic -theory of some surfaces over finite fields
Oliver Gregory
We compute the algebraic -theory of some classes of surfaces defined over finite fields. We achieve this by first calculating the motivic cohomology groups and then studying the…
Torsion codimension 2 cycles on supersingular abelian varieties
Oli Gregory
We prove that torsion codimension 2 algebraic cycles modulo rational equivalence on supersingular abelian varieties are algebraically equivalent to zero. As a consequence, we prove…
A log-motivic cohomology for semistable varieties and its -adic deformation theory
Oliver Gregory, Andreas Langer
We construct log-motivic cohomology groups for semistable varieties and study the -adic deformation theory of log-motivic cohomology classes. Our main result is the deformationa…
Hodge-Witt decomposition of relative crystalline cohomology
Oliver Gregory, Andreas Langer
For a smooth and proper scheme over an artinian local ring with ordinary reduction over the perfect residue field we prove - under some general assumptions - that the relative de R…
p-adic Tate conjectures and abeloid varieties
Oliver Gregory, Christian Liedtke
We explore Tate-type conjectures over -adic fields. We study a conjecture of Raskind that predicts the surjectivity of $$ ({\rm NS}(X_{\bar{K}}) \otimes_{\mathbb{Z}}\mathbb{Q}_p…
Overconvergent de Rham-Witt cohomology for semistable varieties
Oliver Gregory, Andreas Langer
We define an overconvergent version of the Hyodo-Kato complex for semistable varieties over perfect fields of positive characteristic, and prove that its hypercohomology tensor…
Higher displays arising from filtered de Rham-Witt complexes
Oliver Gregory, Andreas Langer
For a smooth projective scheme over a ring on which is nilpotent that meets some general assumptions we prove that the crystalline cohomology is equipped with the struc…