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Convergent Hahn Series and Tropical Geometry of Higher Rank

Published 5 Sep 2018 in math.MG and math.AG | (1809.01457v4)

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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