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arXiv · 2501.17738

White's conjecture for matroids and inner projections

Kangjin Han·Mateusz Michałek·Julian Weigert
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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.

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Kangjin Han, Mateusz Michałek, Julian Weigert. 2025-01-29. White's conjecture for matroids and inner projections. https://arxiv.org/abs/2501.17738

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