Convergent Hahn Series and Tropical Geometry of Higher Rank

Michael Joswig; Ben Smith

doi:10.1112/jlms.12716

Convergent Hahn Series and Tropical Geometry of Higher Rank

Michael Joswig, Ben Smith

Pure Mathematics

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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 language	English
Journal	Journal of the London Mathematical Society
Early online date	11 Feb 2023
DOIs	https://doi.org/10.1112/jlms.12716
Publication status	Published - 4 Apr 2023

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1809.01457v4Submitted manuscript, 546 KB

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title = "Convergent Hahn Series and Tropical Geometry of Higher Rank",

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. ",

author = "Michael Joswig and Ben Smith",

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JO - Journal of the London Mathematical Society

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Convergent Hahn Series and Tropical Geometry of Higher Rank

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