Generalising Kapranov's theorem for tropical geometry over hyperfields

DOI10.1016/j.jalgebra.2023.09.018arXiv2108.01524OpenAlexW3188126230MaRDI QIDQ6066489

James W. Maxwell

Publication date: 16 November 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.01524

zbMATH Keywords

RACpolynomialsvarietieshyperfieldhyperoperation

Mathematics Subject Classification ID

Tropical geometry (14Txx) Foundations of algebraic geometry (14Axx)

Cites Work

• Unnamed Item
• On basic concepts of tropical geometry
• The moduli space of matroids
• A class of hyperrings and hyperfields
• Perfect matroids
• Hyperfield Grassmannians
• Algebraic geometry over hyperrings
• On the relation between hyperrings and fuzzy rings
• Matroids over partial hyperstructures
• Foundations for a theory of complex matroids
• Classification of doubly distributive skew hyperfields and stringent hypergroups
• Factorizations of tropical and sign polynomials
• Geometry of hyperfields
• Descartes' rule of signs, Newton polygons, and polynomials over hyperfields
• Non-archimedean amoebas and tropical varieties
• The hyperring of adèle classes

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