most citedGeneralising Kapranov's Theorem For Tropical Geometry Over Hyperfields

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math.AG2023

Geometry of tropical extensions of hyperfields

James Maxwell, Ben Smith

We study the geometry of tropical extensions of hyperfields, including the ordinary, signed and complex tropical hyperfields. We introduce the framework of 'enriched valuations' as…

math.AG2021★ 1 cited

Generalising Kapranov's Theorem For Tropical Geometry Over Hyperfields

James Maxwell

Kapranov's theorem is a foundational result in tropical geometry. It states that the set of tropicalisations of points on a hypersurface coincides precisely with the tropical varie…