White's conjecture for matroids and inner projections
Combinatorics
2025-01-30 v1 Commutative Algebra
Abstract
White's conjecture predicts quadratic generators for the ideal of any matroid base polytope. We prove that White's conjecture for any matroid implies it also for any matroid , where and differ by one basis. Our study is motivated by inner projections of algebraic varieties.
Keywords
Cite
@article{arxiv.2501.17738,
title = {White's conjecture for matroids and inner projections},
author = {Kangjin Han and Mateusz Michałek and Julian Weigert},
journal= {arXiv preprint arXiv:2501.17738},
year = {2025}
}