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Convergent Hahn Series and Tropical Geometry of Higher Rank

2018/09/05 by Michael Joswig, Ben Smith, Joswig, Michael +1
Computer Science · Mathematics · Medicine · #12D15 #14T05 #52B11 #Algebraic Geometry (math.AG) #Cancer Treatment and Pharmacology #Commutative Algebra and Its Applications #FOS: Mathematics #Metric Geometry (math.MG) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1809.01457

openalex publication_date 2018/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose to study the tropical geometry specifically arising from convergent Hahn series in multiple indeterminates. One application is a new view on stable intersections of tropical hypersurfaces. Another one is perturbations of rank one tropical polytopes, which is beneficial for algorithmic purposes.

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