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Convergent Hahn Series and Tropical Geometry of Higher Rank

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<mark>Journal publication date</mark>30/04/2023
<mark>Journal</mark>Journal of the London Mathematical Society
Issue number4
Volume107
Number of pages32
Pages (from-to)1450-1481
Publication StatusPublished
Early online date11/02/23
<mark>Original language</mark>English

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.