A Field of Generalised Puiseux Series for Tropical Geometry

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dc.creatorMarkwig, Thomas
dc.date2007-09-24
dc.date.accessioned2026-07-07T08:31:50Z
dc.date.available2026-07-07T08:31:50Z
dc.descriptionIn this paper we define a field K of characteristic zero with valuation whose value group is the real numbers, and we show that this field of generalised Puiseux series is algebraically closed and complete with respect to the norm induced by its valuation. We consider this field to be a good candidate for the base field for tropical geometry.
dc.identifierhttps://arxiv.org/abs/0709.3784
dc.identifierhttp://arxiv.org/abs/0709.3784
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138620
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject12J25; 16W60; 13F25; 13F30
dc.titleA Field of Generalised Puiseux Series for Tropical Geometry
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