שמור ב:
מידע ביבליוגרפי
Main Authors: Kummer, Mario, Sawall, David
פורמט: Preprint
יצא לאור: 2024
נושאים:
גישה מקוונת:https://arxiv.org/abs/2402.01272
תגים: הוספת תג
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תוכן הענינים:
  • We settle three problems from the literature on stable and real zero polynomials and their connection to matroid theory. We disprove the weak real zero amalgamation conjecture by Schweighofer and the second author. We disprove a conjecture by Brändén and D'León by finding a relaxation of a matroid with the weak half-plane property that does not have the weak half-plane property itself. Finally, we prove that every quaternionic unimodular matroid has the half-plane property which was conjectured by Pendavingh and van Zwam.