A Field of Generalised Puiseux Series for Tropical Geometry

Details A Field of Generalised Puiseux Series for Tropical Geometry A Field of Generalised Puiseux Series for Tropical Geometry

2007-09-24

arxiv.org/abs/0709.3784v1

Mathematics

Commutative Algebra

Scientific paper

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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