vix.ing · top · new · best · stats · spec

White's conjecture for matroids and inner projections

2025/01/29 by Kangjin Han, Han, Kangjin, Mateusz Michałek +3
Computer Science · Mathematics · #05B35 #13F65 #52B40 #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Advanced Topology and Set Theory #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2501.17738

openalex publication_date 2025/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

White's conjecture predicts quadratic generators for the ideal of any matroid base polytope. We prove that White's conjecture for any matroid M implies it also for any matroid M', where M and M' differ by one basis. Our study is motivated by inner projections of algebraic varieties.

Related