Realizable Sticky Matroid Conjecture

2020/11/30 by Jaeho Shin, Shin, Jaeho
Computer Science · Mathematics · #05B35 (Primary) 52B40 #14N20 (Secondary) #Advanced Combinatorial Mathematics #Advanced Graph Theory Research #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2011.14577

openalex publication_date 2020/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a criterion for modular extension of rank-4 hypermodular matroids, and prove a weakening of Kantor's conjecture for rank-4 realizable matroids. This proves the sticky matroid conjecture and Kantor's conjecture for realizable matroids due to an argument of Bachem, Kern, and Bonin, and due to an equivalence argument of Hochstattler and Wilhelmi, respectively.

Citations

• Biconvex Polytopes and Tropical Linear Spaces

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