Work

White's conjecture for matroids and inner projections

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2501.17738

Authors: Han, Kangjin, Michałek, Mateusz, Weigert, Julian

Institution: Daegu Gyeongbuk Institute of Science and Technology

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Research Foundation, Deutsche Forschungsgemeinschaft, National Research Foundation of Korea, Daegu Gyeongbuk Institute of Science and Technology, Ministry of Science and ICT, South Korea

Award: Kombinatorik und algebraische Geometrie von Tensoren

OpenAlex ID: W4406975713

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