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4 papers · 1 filter
A Polynomial Upper Bound for Poset Saturation
Paul Bastide, Carla Groenland, Maria-Romina Ivan +1
Given a finite poset , we say that a family of subsets of is -saturated if does not contain an induced copy of ,…
A note on the equidistribution of -colour partitions
Joshua Males
In this short note, we prove equidistribution results regarding three families of three-colour partitions recently introduced by Schlosser and Zhou. To do so, we prove an asymptoti…
On the existence of free sublattices of bounded index and arithmetic applications
Henri Johnston, Alex Torzewski
Let be a Dedekind domain whose field of fractions is a global field. Let be a finite-dimensional separable -algebra and let be an -order i…
The Valuative Section Conjecture, Étale Homotopy, and Berkovich Spaces
Jesse Pajwani
We reinterpret a result of Pop and Stix on the -adic section conjecture in terms of Berkovich spaces and fixed points. In doing this, we see a version of the result extends to l…