English

Realizable Sticky Matroid Conjecture

Combinatorics 2021-01-20 v4 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.2011.14577,
  title  = {Realizable Sticky Matroid Conjecture},
  author = {Jaeho Shin},
  journal= {arXiv preprint arXiv:2011.14577},
  year   = {2021}
}

Comments

9 pages; v4: correction of typo

R2 v1 2026-06-23T20:35:20.385Z