6 papers
Overconvergent prismatic cohomology
Andreas Langer
In this note I define an overconvergent version of prisms and prismatic cohomology as introduced by Bhatt and Scholze and show that overconvergent prismatic cohomology specialises…
A General Decomposition Method for a Convex Problem Related to Total Variation Minimization
Stephan Hilb, Andreas Langer
We consider sequential and parallel decomposition methods for a dual problem of a general total variation minimization problem with applications in several image processing tasks,…
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…
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…