Convergent Hahn Series and Tropical Geometry of Higher Rank

Michael Joswig, Ben Smith

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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.
Original languageEnglish
JournalJournal of the London Mathematical Society
Early online date11 Feb 2023
DOIs
Publication statusPublished - 4 Apr 2023

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