Fundamentals of Broken Line Convex Geometry
Autor: | Frías-Medina, Juan Bosco, Magee, Timothy |
---|---|
Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We develop the fundamentals of a new theory of convex geometry -- which we call "broken line convex geometry". This is a theory of convexity where the ambient space is the rational tropicalization of a cluster variety, as opposed to an ambient vector space. In this theory, line segments are replaced by broken line segments, and we adopt the notion of convexity in [CMN21]. We state and prove broken line convex geometry versions of many standard results from usual convex geometry. Comment: 34 pages, 6 figures. Feedback welcome |
Databáze: | arXiv |
Externí odkaz: |