5 papers
Coproximinality of linear subspaces in generalized Minkowski spaces
Thomas Jahn, Christian Richter
We show that, for vector spaces in which distance measurement is performed using a gauge, the existence of best coapproximations in -codimensional closed linear subspaces implie…
Vertex-Facet Assignments For Polytopes
Thomas Jahn, Martin Winter
Motivated by the search for reduced polytopes, we consider the following question: For which polytopes exists a vertex-facet assignment, that is, a matching between vertices and no…
Uniqueness of circumcenters in generalized Minkowski spaces
Bernardo González Merino, Thomas Jahn, Christian Richter
In an -dimensional normed space every bounded set has a unique circumball if and only if every set of cardinality two has a unique circumball and if and only if the unit ball of…
Tate Conjecture and Higher Brauer Groups of Abelian Varieties in Characteristic Zero
Thomas Jahn
Let be an abelian variety over a field finitely generated over . We show that the finiteness of the -primary torsion subgroup of the higher Brauer group is a…
Is a complete, reduced set necessarily of constant width?
René Brandenberg, Bernardo González Merino, Thomas Jahn +1
Is it true that a convex body being complete and reduced with respect to some gauge body is necessarily of constant width, that is, satisfies for some ? W…