Збережено в:
Бібліографічні деталі
Автори: Babaee, Farhad, Dewar, Sean, Maxwell, James
Формат: Preprint
Опубліковано: 2024
Предмети:
Онлайн доступ:https://arxiv.org/abs/2403.00655
Теги: Додати тег
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Зміст:
  • Extremality and irreducibility constitute fundamental concepts in mathematics, particularly within tropical geometry. While extremal decomposition is typically computationally hard, this article presents a fast algorithm for identifying the extremal decomposition of tropical varieties with rational balanced weightings. Additionally, we explore connections and applications related to rigidity theory. In particular, we prove that a tropical hypersurface is extremal if and only if it has a unique reciprocal diagram up to homothety.