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math.MG2023
Convex geometry over ordered hyperfields
James Maxwell, Ben Smith
We initiate the study of convex geometry over ordered hyperfields. We define convex sets and halfspaces over ordered hyperfields, presenting structure theorems over hyperfields ari…
math.MG2018★ 1 cited
Convergent Hahn Series and Tropical Geometry of Higher Rank
Michael Joswig, Ben Smith
We propose to study the tropical geometry specifically arising from convergent Hahn series in multiple indeterminates. One application is a new view on stable intersections of trop…