Pendavingh–van Zwam quaternionic unimodularity conjecture
A quaternionic unimodular matroid is a matroid representable by a quaternionic unimodular matrix. A matroid has the half-plane property when its bases-generating polynomial is stable. Pendavingh–van Zwam's conjecture, attributed to David G. Wagner. Every quaternionic unimodular matroid has the half-plane property. The paper proves this conjecture, establishing the claimed half-plane property for all quaternionic unimodular matroids.
References
Primary source
Mario Kummer and David Sawall, “Three results related to the half-plane property of matroids”, arXiv:2402.01272 (2024).
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