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A Field of Generalised Puiseux Series for Tropical Geometry

Authors
  • Markwig, Thomas
Type
Preprint
Publication Date
Sep 24, 2007
Submission Date
Sep 24, 2007
Source
arXiv
License
Unknown
External links

Abstract

In 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.

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