Autor:	Frías-Medina, Juan Bosco, Magee, Timothy
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry Mathematics - Combinatorics Primary: 52A01 Secondary: 14J33 14M99 13F60 51M20
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:	http://arxiv.org/abs/2407.02427 Zobrazit plný text záznamu View this record from Arxiv